{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 1,
     "metadata": {
      "image/png": {
       "width": 200
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image('../../Python_probability_statistics_machine_learning_2E.png',width=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Monte Carlo Sampling Methods\n",
    "\n",
    "So far, we have studied analytical ways to\n",
    "transform random variables and how\n",
    "to augment these methods using Python. In\n",
    "spite of all this, we frequently must\n",
    "resort to purely numerical methods to\n",
    "solve real-world problems.  Hopefully,\n",
    "now that we have seen the deeper theory,\n",
    "these numerical methods will feel more\n",
    "concrete.  Suppose we want to generate\n",
    "samples of a given density, $f(x)$,\n",
    "given we already can generate samples from a\n",
    "uniform distribution,\n",
    "$\\mathcal{U}[0,1]$.  How do we know a random sample $v$\n",
    "comes from the $f(x)$\n",
    "distribution?  One approach is to look at how a histogram\n",
    "of samples of $v$\n",
    "approximates $f(x)$. Specifically,\n",
    "\n",
    "<!-- Equation labels as ordinary links -->\n",
    "<div id=\"eq:mc01\"></div>\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    "\\mathbb{P}( v \\in N_{\\Delta}(x) )  = f(x) \\Delta x\n",
    "\\end{equation}\n",
    "\\label{eq:mc01} \\tag{1}\n",
    "$$\n",
    "\n",
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_000.png, width=500\n",
    "frac=0.75] The histogram approximates the target probability density. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_000\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_000\"></div>\n",
    "\n",
    "<p>The histogram approximates the\n",
    "target probability density.</p>\n",
    "<img src=\"fig-\n",
    "probability/Sampling_Monte_Carlo_000.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "which says that the probability that a sample is in some $N_\\Delta$\n",
    "neighborhood\n",
    "of $x$ is approximately $f(x)\\Delta x$. [Figure](#fig:Sampling_Monte_Carlo_000)\n",
    "shows the target probability density function\n",
    "$f(x)$ and a histogram that\n",
    "approximates it. The histogram is generated from\n",
    "samples $v$. The hatched\n",
    "rectangle in the center illustrates Equation\n",
    "[1](#eq:mc01). The area of this\n",
    "rectangle is approximately $f(x)\\Delta x$ where\n",
    "$x=0$, in this case. The width\n",
    "of the rectangle is $N_{\\Delta}(x)$ The quality\n",
    "of the approximation may be\n",
    "clear visually, but to know that $v$ samples are\n",
    "characterized by $f(x)$, we\n",
    "need the statement of Equation [1](#eq:mc01), which\n",
    "says that the proportion of\n",
    "samples $v$  that fill the hatched rectangle is\n",
    "approximately equal to\n",
    "$f(x)\\Delta x$.\n",
    "\n",
    "Now that we know how to evaluate samples $v$ that are\n",
    "characterized by the density\n",
    "$f(x)$, let's consider how to create these samples\n",
    "for both discrete and\n",
    "continuous random variables.\n",
    "\n",
    "## Inverse CDF Method for\n",
    "Discrete Variables\n",
    "\n",
    "Suppose we want to generate samples from a fair six-sided\n",
    "die.  Our workhouse\n",
    "uniform random variable is defined continuously over the\n",
    "unit interval  and the\n",
    "fair six-sided die is discrete. We must first create a\n",
    "mapping between the\n",
    "continuous random variable $u$ and the discrete outcomes of\n",
    "the die. This\n",
    "mapping is shown in [Figure](#fig:Sampling_Monte_Carlo_0001) where\n",
    "the unit\n",
    "interval is broken up into segments, each of length $1/6$. Each\n",
    "individual\n",
    "segment is assigned to one of the die outcomes. For example, if $u\n",
    "\\in\n",
    "[1/6,2/6)$, then the outcome for the die is $2$. Because the die is fair,\n",
    "all\n",
    "segments on the unit interval are the same length. Thus, our new random\n",
    "variable $v$ is derived from $u$ by this assignment.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-\n",
    "probability/Sampling_Monte_Carlo_0001.png, width=500 frac=0.75] A uniform\n",
    "distribution random variable on the unit interval is assigned to the six\n",
    "outcomes of a fair die using these segements. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_0001\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_0001\"></div>\n",
    "\n",
    "<p>A uniform distribution random\n",
    "variable on the unit interval is assigned to the six outcomes of a fair die\n",
    "using these segements.</p>\n",
    "<img src=\"fig-\n",
    "probability/Sampling_Monte_Carlo_0001.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "For\n",
    "example, for $v=2$, we have,\n",
    "\n",
    "$$\n",
    "\\mathbb{P}(v=2) = \\mathbb{P}(u\\in [1/6,2/6)) = 1/6\n",
    "$$\n",
    "\n",
    " where, in the language of the Equation [1](#eq:mc01), $f(x)=1$\n",
    "(uniform\n",
    "distribution), $\\Delta x = 1/6$, and $N_\\Delta (2)=[1/6,2/6)$.\n",
    "Naturally, this\n",
    "pattern holds for all the other die outcomes in\n",
    "$\\left\\{1,2,3,..,6\\right\\}$.\n",
    "Let's consider a quick simulation to make this\n",
    "concrete. The following code\n",
    "generates uniform random samples and stacks them\n",
    "in a Pandas dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from pandas import DataFrame\n",
    "u= np.random.rand(100)\n",
    "df = DataFrame(data=u,columns=['u'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next block uses `pd.cut` to map the individual samples to\n",
    "the set\n",
    "$\\left\\{1,2,\\ldots,6\\right\\}$ labeled `v`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels = [1,2,3,4,5,6]\n",
    "df['v']=pd.cut(df.u,np.linspace(0,1,7),\n",
    "               include_lowest=True,labels=labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what the dataframe contains. The `v` column contains\n",
    "the samples drawn\n",
    "from the fair die."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>u</th>\n",
       "      <th>v</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.596534</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.410969</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.416233</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.171567</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.716067</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      "text/plain": [
       "          u  v\n",
       "0  0.596534  4\n",
       "1  0.410969  3\n",
       "2  0.416233  3\n",
       "3  0.171567  2\n",
       "4  0.716067  5"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following is a count of the number of samples in each group. There\n",
    "should\n",
    "be roughly the same number of samples in each group because the die is fair."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "      <th></th>\n",
       "      <th>u</th>\n",
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       "    <tr>\n",
       "      <th>v</th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    u\n",
       "v    \n",
       "1  11\n",
       "2  19\n",
       "3  18\n",
       "4  17\n",
       "5  16\n",
       "6  19"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.groupby('v').count()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So far, so good. We now have a way to simulate a fair\n",
    "die from a uniformly\n",
    "distributed random variable.\n",
    "\n",
    "To extend this to unfair die, we need only make\n",
    "some small adjustments to this\n",
    "code.  For example, suppose that we want an\n",
    "unfair die so that\n",
    "$\\mathbb{P}(1)=\\mathbb{P}(2)=\\mathbb{P}(3)=1/12$ and\n",
    "$\\mathbb{P}(4)=\\mathbb{P}(5)=\\mathbb{P}(6)=1/4$. The only change we have to\n",
    "make\n",
    "is with `pd.cut` as follows,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "        vertical-align: top;\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>u</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>v</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.28</td>\n",
       "    </tr>\n",
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       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      u\n",
       "v      \n",
       "1  0.06\n",
       "2  0.05\n",
       "3  0.10\n",
       "4  0.27\n",
       "5  0.24\n",
       "6  0.28"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['v']=pd.cut(df.u,[0,1/12,2/12,3/12,2/4,3/4,1],\n",
    "               include_lowest=True,labels=labels)\n",
    "df.groupby('v').count()/df.shape[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where now these are the individual probabilities of each digit. You\n",
    "can take\n",
    "more than `100` samples to get a clearer view of the individual\n",
    "probabilities\n",
    "but the mechanism for generating them is the same. The method is\n",
    "called the\n",
    "inverse CDF [^CDF] method because the CDF\n",
    "(namely,$\\texttt{[0,1/12,2/12,3/12,2/4,3/4,1]}$) in the last example has been\n",
    "inverted (using the `pd.cut` method) to generate the samples.  \n",
    "The inversion is\n",
    "easier to see for continuous variables, which we consider\n",
    "next.\n",
    "\n",
    "[^CDF]:\n",
    "Cumulative density function. Namely, $F(x)=\\mathbb{P}(X < x)$.\n",
    "\n",
    "\n",
    "## Inverse CDF\n",
    "Method for Continuous Variables\n",
    "\n",
    "The method above applies to continuous random\n",
    "variables, but now we have to \n",
    "squeeze the  intervals down to individual points.\n",
    "In the example above, our\n",
    "inverse function was a piecewise function that\n",
    "operated on uniform random\n",
    "samples. In this case, the piecewise function\n",
    "collapses to a continuous inverse\n",
    "function.  We want to generate random samples\n",
    "for a CDF that is invertible.\n",
    "As before, the criterion for generating an\n",
    "appropriate sample $v$ is the\n",
    "following,\n",
    "\n",
    "$$\n",
    "\\mathbb{P}(F(x) < v < F(x+\\Delta x)) =  F(x+\\Delta x) - F(x) =\n",
    "\\int_x^{x+\\Delta x} f(u) du \\approx  f(x) \\Delta x\n",
    "$$\n",
    "\n",
    " which says that the probability that the sample $v$ is contained in a\n",
    "$\\Delta\n",
    "x$ interval is approximately equal to $f(x) \\Delta x$, at that point.\n",
    "Once\n",
    "again, the trick is to use a uniform random sample $u$ and an invertible\n",
    "CDF\n",
    "$F(x)$ to construct these samples.  Note that for a uniform random variable\n",
    "$u\n",
    "\\sim \\mathcal{U}[0,1]$, we have,\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\mathbb{P}(x < F^{-1}(u) < x+\\Delta x) & = \\mathbb{P}(F(x) < u\n",
    "< F(x+\\Delta x)) \\\\\\\n",
    "                                       & =  F(x+\\Delta x) -\n",
    "F(x) \\\\\\\n",
    "                                       & = \\int_x^{x+\\Delta x} f(p) dp\n",
    "\\approx  f(x) \\Delta x\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    " This means that $ v=F^{-1}(u) $ is distributed according to $f(x)$,\n",
    "which is\n",
    "what we want.  \n",
    "\n",
    "Let's try this to generate samples from the\n",
    "exponential\n",
    "distribution,\n",
    "\n",
    "$$\n",
    "f_{\\alpha}(x) = \\alpha e^{ -\\alpha x }\n",
    "$$\n",
    "\n",
    " which has the following CDF,\n",
    "\n",
    "$$\n",
    "F(x) = 1-e^{ -\\alpha x  }\n",
    "$$\n",
    "\n",
    " and corresponding inverse,\n",
    "\n",
    "$$\n",
    "F^{-1}(u)  = \\frac{1}{\\alpha}\\ln \\frac{1}{(1-u)}\n",
    "$$\n",
    "\n",
    " Now, all we have to do is generate some uniformly distributed\n",
    "random samples\n",
    "and then feed them into $F^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import array, log\n",
    "import scipy.stats\n",
    "alpha = 1.   # distribution parameter\n",
    "nsamp = 1000 # num of samples\n",
    "# define uniform random variable\n",
    "u=scipy.stats.uniform(0,1)\n",
    "# define inverse function\n",
    "Finv=lambda u: 1/alpha*log(1/(1-u))\n",
    "# apply inverse function to samples\n",
    "v = array(list(map(Finv,u.rvs(nsamp))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we have the samples from the exponential distribution, but how\n",
    "do we know\n",
    "the method is correct with samples distributed accordingly?\n",
    "Fortunately,\n",
    "`scipy.stats` already has a exponential distribution, so we can\n",
    "check our work\n",
    "against the reference using a *probability plot* (i.e.,  also\n",
    "known as a\n",
    "*quantile-quantile* plot).  The following code sets up the\n",
    "probability plot from\n",
    "`scipy.stats`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from matplotlib.pylab import setp, subplots\n",
    "fig,ax = subplots()\n",
    "fig.set_size_inches((7,5))\n",
    "_=scipy.stats.probplot(v,(1,),dist='expon',plot=ax)\n",
    "line=ax.get_lines()[0]\n",
    "_=setp(line,'color','k')\n",
    "_=setp(line,'alpha',.1)\n",
    "line=ax.get_lines()[1]\n",
    "_=setp(line,'color','gray')\n",
    "_=setp(line,'lw',3.0)\n",
    "_=setp(ax.yaxis.get_label(),'fontsize',18)\n",
    "_=setp(ax.xaxis.get_label(),'fontsize',18)\n",
    "_=ax.set_title('Probability Plot',fontsize=18)\n",
    "_=ax.grid()\n",
    "fig.tight_layout()\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_005.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((array([1.00069315, 1.0016833 , 1.00268512, 1.00368795, 1.00469178,\n",
       "         1.00569662, 1.00670247, 1.00770934, 1.00871722, 1.00972611,\n",
       "         1.01073603, 1.01174696, 1.01275892, 1.01377191, 1.01478592,\n",
       "         1.01580096, 1.01681703, 1.01783414, 1.01885228, 1.01987145,\n",
       "         1.02089167, 1.02191293, 1.02293524, 1.02395859, 1.02498299,\n",
       "         1.02600844, 1.02703494, 1.02806249, 1.02909111, 1.03012078,\n",
       "         1.03115151, 1.03218331, 1.03321617, 1.03425011, 1.03528511,\n",
       "         1.03632118, 1.03735833, 1.03839655, 1.03943586, 1.04047624,\n",
       "         1.04151771, 1.04256027, 1.04360391, 1.04464864, 1.04569447,\n",
       "         1.04674139, 1.04778941, 1.04883852, 1.04988874, 1.05094006,\n",
       "         1.05199249, 1.05304603, 1.05410068, 1.05515644, 1.05621332,\n",
       "         1.05727132, 1.05833044, 1.05939068, 1.06045204, 1.06151454,\n",
       "         1.06257816, 1.06364292, 1.06470881, 1.06577583, 1.066844  ,\n",
       "         1.06791331, 1.06898377, 1.07005537, 1.07112812, 1.07220202,\n",
       "         1.07327708, 1.0743533 , 1.07543067, 1.07650921, 1.07758891,\n",
       "         1.07866978, 1.07975181, 1.08083502, 1.08191941, 1.08300497,\n",
       "         1.08409171, 1.08517963, 1.08626874, 1.08735904, 1.08845052,\n",
       "         1.0895432 , 1.09063708, 1.09173215, 1.09282842, 1.09392589,\n",
       "         1.09502457, 1.09612446, 1.09722556, 1.09832788, 1.09943141,\n",
       "         1.10053616, 1.10164213, 1.10274933, 1.10385775, 1.1049674 ,\n",
       "         1.10607829, 1.10719041, 1.10830377, 1.10941837, 1.11053421,\n",
       "         1.11165131, 1.11276965, 1.11388924, 1.11501008, 1.11613219,\n",
       "         1.11725555, 1.11838018, 1.11950608, 1.12063324, 1.12176168,\n",
       "         1.12289139, 1.12402238, 1.12515465, 1.1262882 , 1.12742304,\n",
       "         1.12855917, 1.12969659, 1.1308353 , 1.13197532, 1.13311663,\n",
       "         1.13425925, 1.13540318, 1.13654841, 1.13769496, 1.13884283,\n",
       "         1.13999201, 1.14114252, 1.14229435, 1.14344751, 1.144602  ,\n",
       "         1.14575782, 1.14691499, 1.14807349, 1.14923334, 1.15039453,\n",
       "         1.15155708, 1.15272097, 1.15388623, 1.15505284, 1.15622082,\n",
       "         1.15739016, 1.15856087, 1.15973295, 1.16090641, 1.16208124,\n",
       "         1.16325746, 1.16443507, 1.16561406, 1.16679444, 1.16797622,\n",
       "         1.1691594 , 1.17034397, 1.17152996, 1.17271735, 1.17390615,\n",
       "         1.17509637, 1.176288  , 1.17748106, 1.17867554, 1.17987146,\n",
       "         1.1810688 , 1.18226758, 1.1834678 , 1.18466945, 1.18587256,\n",
       "         1.18707711, 1.18828312, 1.18949059, 1.19069951, 1.1919099 ,\n",
       "         1.19312175, 1.19433507, 1.19554987, 1.19676614, 1.1979839 ,\n",
       "         1.19920314, 1.20042387, 1.20164609, 1.20286981, 1.20409503,\n",
       "         1.20532175, 1.20654997, 1.20777971, 1.20901096, 1.21024373,\n",
       "         1.21147802, 1.21271383, 1.21395118, 1.21519005, 1.21643047,\n",
       "         1.21767242, 1.21891592, 1.22016097, 1.22140757, 1.22265572,\n",
       "         1.22390544, 1.22515672, 1.22640956, 1.22766398, 1.22891998,\n",
       "         1.23017755, 1.23143671, 1.23269745, 1.23395978, 1.23522372,\n",
       "         1.23648925, 1.23775638, 1.23902512, 1.24029548, 1.24156745,\n",
       "         1.24284104, 1.24411625, 1.24539309, 1.24667156, 1.24795168,\n",
       "         1.24923343, 1.25051682, 1.25180187, 1.25308857, 1.25437693,\n",
       "         1.25566694, 1.25695863, 1.25825199, 1.25954702, 1.26084373,\n",
       "         1.26214212, 1.2634422 , 1.26474398, 1.26604745, 1.26735262,\n",
       "         1.2686595 , 1.26996809, 1.27127839, 1.27259041, 1.27390416,\n",
       "         1.27521963, 1.27653684, 1.27785578, 1.27917647, 1.2804989 ,\n",
       "         1.28182308, 1.28314902, 1.28447672, 1.28580619, 1.28713742,\n",
       "         1.28847043, 1.28980522, 1.29114179, 1.29248015, 1.29382031,\n",
       "         1.29516226, 1.29650602, 1.29785158, 1.29919896, 1.30054815,\n",
       "         1.30189917, 1.30325202, 1.3046067 , 1.30596321, 1.30732157,\n",
       "         1.30868178, 1.31004384, 1.31140776, 1.31277354, 1.31414118,\n",
       "         1.3155107 , 1.3168821 , 1.31825539, 1.31963056, 1.32100762,\n",
       "         1.32238658, 1.32376745, 1.32515023, 1.32653492, 1.32792153,\n",
       "         1.32931007, 1.33070054, 1.33209294, 1.33348729, 1.33488358,\n",
       "         1.33628182, 1.33768203, 1.33908419, 1.34048833, 1.34189444,\n",
       "         1.34330253, 1.3447126 , 1.34612467, 1.34753873, 1.34895479,\n",
       "         1.35037287, 1.35179295, 1.35321506, 1.35463919, 1.35606535,\n",
       "         1.35749355, 1.35892379, 1.36035608, 1.36179043, 1.36322683,\n",
       "         1.36466531, 1.36610585, 1.36754847, 1.36899318, 1.37043997,\n",
       "         1.37188887, 1.37333986, 1.37479296, 1.37624818, 1.37770552,\n",
       "         1.37916499, 1.38062658, 1.38209032, 1.38355621, 1.38502424,\n",
       "         1.38649444, 1.38796679, 1.38944132, 1.39091803, 1.39239692,\n",
       "         1.393878  , 1.39536128, 1.39684676, 1.39833445, 1.39982436,\n",
       "         1.40131649, 1.40281085, 1.40430745, 1.40580629, 1.40730738,\n",
       "         1.40881073, 1.41031634, 1.41182422, 1.41333438, 1.41484682,\n",
       "         1.41636155, 1.41787858, 1.41939792, 1.42091957, 1.42244353,\n",
       "         1.42396983, 1.42549845, 1.42702942, 1.42856273, 1.4300984 ,\n",
       "         1.43163643, 1.43317683, 1.43471961, 1.43626476, 1.43781232,\n",
       "         1.43936226, 1.44091462, 1.44246939, 1.44402658, 1.4455862 ,\n",
       "         1.44714825, 1.44871275, 1.4502797 , 1.45184911, 1.45342099,\n",
       "         1.45499534, 1.45657217, 1.4581515 , 1.45973332, 1.46131765,\n",
       "         1.46290449, 1.46449385, 1.46608575, 1.46768018, 1.46927716,\n",
       "         1.47087669, 1.47247879, 1.47408345, 1.4756907 , 1.47730053,\n",
       "         1.47891296, 1.480528  , 1.48214564, 1.48376591, 1.4853888 ,\n",
       "         1.48701434, 1.48864252, 1.49027336, 1.49190686, 1.49354303,\n",
       "         1.49518188, 1.49682343, 1.49846767, 1.50011462, 1.50176429,\n",
       "         1.50341669, 1.50507181, 1.50672969, 1.50839031, 1.5100537 ,\n",
       "         1.51171986, 1.5133888 , 1.51506054, 1.51673507, 1.51841241,\n",
       "         1.52009256, 1.52177555, 1.52346137, 1.52515004, 1.52684156,\n",
       "         1.52853596, 1.53023322, 1.53193338, 1.53363642, 1.53534238,\n",
       "         1.53705125, 1.53876304, 1.54047777, 1.54219545, 1.54391608,\n",
       "         1.54563967, 1.54736624, 1.5490958 , 1.55082836, 1.55256392,\n",
       "         1.5543025 , 1.5560441 , 1.55778875, 1.55953645, 1.5612872 ,\n",
       "         1.56304102, 1.56479793, 1.56655793, 1.56832103, 1.57008725,\n",
       "         1.57185659, 1.57362906, 1.57540469, 1.57718347, 1.57896542,\n",
       "         1.58075055, 1.58253888, 1.58433041, 1.58612515, 1.58792312,\n",
       "         1.58972433, 1.59152879, 1.59333652, 1.59514751, 1.59696179,\n",
       "         1.59877937, 1.60060026, 1.60242447, 1.60425202, 1.60608291,\n",
       "         1.60791716, 1.60975478, 1.61159578, 1.61344018, 1.61528798,\n",
       "         1.61713921, 1.61899387, 1.62085198, 1.62271354, 1.62457858,\n",
       "         1.6264471 , 1.62831912, 1.63019465, 1.63207371, 1.6339563 ,\n",
       "         1.63584244, 1.63773215, 1.63962544, 1.64152231, 1.64342279,\n",
       "         1.64532689, 1.64723463, 1.64914601, 1.65106105, 1.65297976,\n",
       "         1.65490216, 1.65682827, 1.65875809, 1.66069165, 1.66262895,\n",
       "         1.66457001, 1.66651484, 1.66846347, 1.6704159 , 1.67237215,\n",
       "         1.67433223, 1.67629616, 1.67826396, 1.68023564, 1.68221121,\n",
       "         1.68419069, 1.6861741 , 1.68816145, 1.69015276, 1.69214804,\n",
       "         1.69414732, 1.69615059, 1.69815789, 1.70016922, 1.70218461,\n",
       "         1.70420407, 1.70622761, 1.70825526, 1.71028703, 1.71232293,\n",
       "         1.71436299, 1.71640722, 1.71845563, 1.72050825, 1.72256509,\n",
       "         1.72462617, 1.72669151, 1.72876112, 1.73083503, 1.73291324,\n",
       "         1.73499579, 1.73708267, 1.73917393, 1.74126956, 1.7433696 ,\n",
       "         1.74547405, 1.74758295, 1.7496963 , 1.75181412, 1.75393644,\n",
       "         1.75606328, 1.75819465, 1.76033057, 1.76247106, 1.76461614,\n",
       "         1.76676584, 1.76892016, 1.77107914, 1.77324279, 1.77541113,\n",
       "         1.77758418, 1.77976196, 1.7819445 , 1.78413181, 1.78632392,\n",
       "         1.78852084, 1.7907226 , 1.79292922, 1.79514071, 1.79735711,\n",
       "         1.79957843, 1.8018047 , 1.80403594, 1.80627216, 1.8085134 ,\n",
       "         1.81075967, 1.813011  , 1.8152674 , 1.81752891, 1.81979555,\n",
       "         1.82206734, 1.8243443 , 1.82662645, 1.82891383, 1.83120645,\n",
       "         1.83350433, 1.83580751, 1.83811601, 1.84042985, 1.84274905,\n",
       "         1.84507365, 1.84740366, 1.84973911, 1.85208004, 1.85442645,\n",
       "         1.85677838, 1.85913586, 1.86149891, 1.86386755, 1.86624182,\n",
       "         1.86862174, 1.87100734, 1.87339864, 1.87579567, 1.87819846,\n",
       "         1.88060705, 1.88302144, 1.88544168, 1.88786779, 1.8902998 ,\n",
       "         1.89273774, 1.89518164, 1.89763153, 1.90008743, 1.90254938,\n",
       "         1.9050174 , 1.90749153, 1.9099718 , 1.91245824, 1.91495087,\n",
       "         1.91744973, 1.91995485, 1.92246626, 1.924984  , 1.92750809,\n",
       "         1.93003857, 1.93257547, 1.93511882, 1.93766865, 1.940225  ,\n",
       "         1.94278791, 1.9453574 , 1.94793351, 1.95051627, 1.95310572,\n",
       "         1.95570189, 1.95830482, 1.96091455, 1.9635311 , 1.96615452,\n",
       "         1.96878484, 1.97142209, 1.97406632, 1.97671755, 1.97937584,\n",
       "         1.98204121, 1.98471371, 1.98739336, 1.99008022, 1.99277431,\n",
       "         1.99547568, 1.99818437, 2.00090042, 2.00362386, 2.00635474,\n",
       "         2.0090931 , 2.01183898, 2.01459242, 2.01735346, 2.02012214,\n",
       "         2.02289851, 2.02568262, 2.02847449, 2.03127418, 2.03408173,\n",
       "         2.03689719, 2.03972059, 2.04255199, 2.04539143, 2.04823896,\n",
       "         2.05109461, 2.05395845, 2.05683051, 2.05971084, 2.06259949,\n",
       "         2.06549651, 2.06840195, 2.07131585, 2.07423827, 2.07716925,\n",
       "         2.08010885, 2.08305712, 2.08601411, 2.08897986, 2.09195444,\n",
       "         2.09493789, 2.09793027, 2.10093163, 2.10394203, 2.10696151,\n",
       "         2.10999014, 2.11302797, 2.11607506, 2.11913146, 2.12219723,\n",
       "         2.12527243, 2.12835712, 2.13145134, 2.13455518, 2.13766868,\n",
       "         2.1407919 , 2.1439249 , 2.14706776, 2.15022052, 2.15338325,\n",
       "         2.15655602, 2.15973888, 2.16293191, 2.16613517, 2.16934872,\n",
       "         2.17257263, 2.17580697, 2.17905181, 2.1823072 , 2.18557323,\n",
       "         2.18884996, 2.19213746, 2.19543581, 2.19874507, 2.20206532,\n",
       "         2.20539663, 2.20873908, 2.21209273, 2.21545767, 2.21883397,\n",
       "         2.22222171, 2.22562096, 2.22903181, 2.23245433, 2.23588861,\n",
       "         2.23933472, 2.24279274, 2.24626277, 2.24974488, 2.25323916,\n",
       "         2.25674569, 2.26026456, 2.26379585, 2.26733966, 2.27089608,\n",
       "         2.27446518, 2.27804707, 2.28164184, 2.28524957, 2.28887037,\n",
       "         2.29250433, 2.29615154, 2.2998121 , 2.30348611, 2.30717367,\n",
       "         2.31087487, 2.31458983, 2.31831864, 2.3220614 , 2.32581823,\n",
       "         2.32958922, 2.33337448, 2.33717413, 2.34098828, 2.34481702,\n",
       "         2.34866048, 2.35251877, 2.35639201, 2.3602803 , 2.36418377,\n",
       "         2.36810254, 2.37203673, 2.37598645, 2.37995184, 2.38393301,\n",
       "         2.3879301 , 2.39194323, 2.39597253, 2.40001813, 2.40408016,\n",
       "         2.40815876, 2.41225406, 2.41636621, 2.42049533, 2.42464157,\n",
       "         2.42880508, 2.432986  , 2.43718446, 2.44140063, 2.44563465,\n",
       "         2.44988668, 2.45415686, 2.45844535, 2.46275231, 2.46707791,\n",
       "         2.47142229, 2.47578563, 2.4801681 , 2.48456985, 2.48899107,\n",
       "         2.49343192, 2.49789258, 2.50237322, 2.50687403, 2.5113952 ,\n",
       "         2.51593689, 2.52049931, 2.52508263, 2.52968706, 2.53431279,\n",
       "         2.53896002, 2.54362894, 2.54831977, 2.5530327 , 2.55776795,\n",
       "         2.56252573, 2.56730625, 2.57210974, 2.57693641, 2.58178649,\n",
       "         2.58666021, 2.5915578 , 2.5964795 , 2.60142553, 2.60639616,\n",
       "         2.61139161, 2.61641214, 2.621458  , 2.62652946, 2.63162676,\n",
       "         2.63675019, 2.64189999, 2.64707646, 2.65227985, 2.65751047,\n",
       "         2.66276859, 2.6680545 , 2.67336851, 2.6787109 , 2.68408199,\n",
       "         2.68948208, 2.69491149, 2.70037054, 2.70585955, 2.71137887,\n",
       "         2.71692881, 2.72250972, 2.72812196, 2.73376588, 2.73944182,\n",
       "         2.74515017, 2.75089129, 2.75666556, 2.76247337, 2.76831511,\n",
       "         2.77419117, 2.78010196, 2.7860479 , 2.79202941, 2.79804691,\n",
       "         2.80410083, 2.81019164, 2.81631976, 2.82248568, 2.82868984,\n",
       "         2.83493274, 2.84121486, 2.84753669, 2.85389875, 2.86030154,\n",
       "         2.86674558, 2.87323143, 2.87975961, 2.88633069, 2.89294524,\n",
       "         2.89960383, 2.90630705, 2.91305551, 2.91984983, 2.92669062,\n",
       "         2.93357853, 2.94051421, 2.94749833, 2.95453157, 2.96161463,\n",
       "         2.96874822, 2.97593306, 2.9831699 , 2.99045949, 2.99780261,\n",
       "         3.00520006, 3.01265263, 3.02016116, 3.02772649, 3.0353495 ,\n",
       "         3.04303106, 3.05077208, 3.0585735 , 3.06643626, 3.07436133,\n",
       "         3.08234971, 3.09040241, 3.0985205 , 3.10670502, 3.11495708,\n",
       "         3.12327781, 3.13166835, 3.14012989, 3.14866364, 3.15727084,\n",
       "         3.16595277, 3.17471074, 3.18354608, 3.19246019, 3.20145447,\n",
       "         3.21053038, 3.21968942, 3.22893313, 3.23826308, 3.2476809 ,\n",
       "         3.25718825, 3.26678687, 3.27647851, 3.286265  , 3.29614821,\n",
       "         3.30613008, 3.31621259, 3.32639779, 3.3366878 , 3.34708479,\n",
       "         3.35759102, 3.36820881, 3.37894054, 3.38978869, 3.40075582,\n",
       "         3.41184456, 3.42305764, 3.43439788, 3.44586819, 3.45747161,\n",
       "         3.46921124, 3.48109034, 3.49311224, 3.50528043, 3.51759851,\n",
       "         3.53007022, 3.54269945, 3.55549021, 3.56844669, 3.58157325,\n",
       "         3.59487442, 3.60835489, 3.62201957, 3.63587357, 3.64992219,\n",
       "         3.664171  , 3.67862578, 3.69329256, 3.70817766, 3.72328768,\n",
       "         3.73862953, 3.75421041, 3.77003791, 3.78611995, 3.80246486,\n",
       "         3.81908137, 3.83597866, 3.85316638, 3.87065469, 3.8884543 ,\n",
       "         3.90657648, 3.92503315, 3.94383688, 3.96300098, 3.98253953,\n",
       "         4.00246745, 4.02280059, 4.04355576, 4.06475085, 4.08640492,\n",
       "         4.10853829, 4.13117265, 4.15433121, 4.17803884, 4.20232219,\n",
       "         4.22720993, 4.25273291, 4.27892442, 4.30582041, 4.33345984,\n",
       "         4.36188498, 4.3911418 , 4.42128045, 4.45235573, 4.48442775,\n",
       "         4.51756257, 4.55183303, 4.58731977, 4.62411229, 4.66231039,\n",
       "         4.70202572, 4.74338383, 4.78652651, 4.83161473, 4.87883228,\n",
       "         4.9283903 , 4.98053296, 5.03554476, 5.09375995, 5.15557477,\n",
       "         5.2214639 , 5.29200257, 5.36789712, 5.45002822, 5.53951332,\n",
       "         5.63780008, 5.74681071, 5.8691752 , 6.00862804, 6.17072894,\n",
       "         6.36428806, 6.60452834, 6.92137102, 7.38783943, 8.27461475]),\n",
       "  array([1.06188720e-04, 1.30690030e-03, 2.57024163e-03, 2.78718355e-03,\n",
       "         3.82156138e-03, 4.66998176e-03, 4.77197429e-03, 5.75793310e-03,\n",
       "         8.55269016e-03, 1.16086890e-02, 1.23134538e-02, 1.25874737e-02,\n",
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       "         1.29411154e+00, 1.29433024e+00, 1.30733401e+00, 1.30767495e+00,\n",
       "         1.30832590e+00, 1.30871507e+00, 1.31056644e+00, 1.31538982e+00,\n",
       "         1.31954952e+00, 1.32199223e+00, 1.33873609e+00, 1.34679715e+00,\n",
       "         1.36257066e+00, 1.36314594e+00, 1.36424196e+00, 1.36460794e+00,\n",
       "         1.36635880e+00, 1.37415198e+00, 1.37557273e+00, 1.38365592e+00,\n",
       "         1.38549128e+00, 1.38692501e+00, 1.38809726e+00, 1.39380835e+00,\n",
       "         1.39876514e+00, 1.39940821e+00, 1.40129689e+00, 1.41665698e+00,\n",
       "         1.41719784e+00, 1.42208248e+00, 1.42673409e+00, 1.43015692e+00,\n",
       "         1.44392494e+00, 1.45526280e+00, 1.46141194e+00, 1.46436074e+00,\n",
       "         1.46476143e+00, 1.46630984e+00, 1.47020317e+00, 1.47811456e+00,\n",
       "         1.48230177e+00, 1.48353957e+00, 1.49134857e+00, 1.49501175e+00,\n",
       "         1.50338481e+00, 1.50490407e+00, 1.50817504e+00, 1.51103275e+00,\n",
       "         1.51278906e+00, 1.51603619e+00, 1.51654331e+00, 1.51787711e+00,\n",
       "         1.52027606e+00, 1.52062822e+00, 1.52249064e+00, 1.52866930e+00,\n",
       "         1.53131889e+00, 1.53533851e+00, 1.54667526e+00, 1.55000830e+00,\n",
       "         1.55109492e+00, 1.55978713e+00, 1.56513354e+00, 1.56811815e+00,\n",
       "         1.57198821e+00, 1.57322456e+00, 1.57539737e+00, 1.57821600e+00,\n",
       "         1.59541553e+00, 1.60100578e+00, 1.60895754e+00, 1.61628810e+00,\n",
       "         1.61922274e+00, 1.61997960e+00, 1.62842655e+00, 1.63070728e+00,\n",
       "         1.63109307e+00, 1.63197365e+00, 1.64018912e+00, 1.64080717e+00,\n",
       "         1.64295979e+00, 1.64877792e+00, 1.66005439e+00, 1.68696752e+00,\n",
       "         1.69909097e+00, 1.70058079e+00, 1.72001321e+00, 1.72299788e+00,\n",
       "         1.73465267e+00, 1.74374386e+00, 1.74540702e+00, 1.75240931e+00,\n",
       "         1.75298527e+00, 1.75314972e+00, 1.76196797e+00, 1.76757063e+00,\n",
       "         1.77345058e+00, 1.77633734e+00, 1.77949872e+00, 1.78082878e+00,\n",
       "         1.78109018e+00, 1.78511875e+00, 1.78701487e+00, 1.78879814e+00,\n",
       "         1.79067976e+00, 1.79586245e+00, 1.79602709e+00, 1.79823888e+00,\n",
       "         1.80016902e+00, 1.80072485e+00, 1.80769584e+00, 1.80847465e+00,\n",
       "         1.80905050e+00, 1.81600315e+00, 1.81908124e+00, 1.82022394e+00,\n",
       "         1.83072798e+00, 1.83737161e+00, 1.85267946e+00, 1.85375087e+00,\n",
       "         1.87518604e+00, 1.87857641e+00, 1.88222900e+00, 1.91082173e+00,\n",
       "         1.92111254e+00, 1.92349734e+00, 1.93716999e+00, 1.94034418e+00,\n",
       "         1.94387151e+00, 1.94449867e+00, 1.96266174e+00, 1.96973881e+00,\n",
       "         1.97089468e+00, 1.97250100e+00, 1.97372038e+00, 1.97622217e+00,\n",
       "         1.98009681e+00, 2.00215553e+00, 2.01056936e+00, 2.01853044e+00,\n",
       "         2.01986953e+00, 2.03199601e+00, 2.03731263e+00, 2.04314782e+00,\n",
       "         2.04471256e+00, 2.04657746e+00, 2.04683970e+00, 2.07053651e+00,\n",
       "         2.07526903e+00, 2.10176832e+00, 2.10640588e+00, 2.10697315e+00,\n",
       "         2.11380023e+00, 2.11779581e+00, 2.12086183e+00, 2.13008870e+00,\n",
       "         2.13823500e+00, 2.14443722e+00, 2.14629534e+00, 2.15157218e+00,\n",
       "         2.20451845e+00, 2.22607346e+00, 2.22879341e+00, 2.22919976e+00,\n",
       "         2.23117603e+00, 2.26832816e+00, 2.26882718e+00, 2.28802901e+00,\n",
       "         2.29221348e+00, 2.32550181e+00, 2.32662462e+00, 2.32722998e+00,\n",
       "         2.33103309e+00, 2.35227343e+00, 2.36388600e+00, 2.37277348e+00,\n",
       "         2.40620301e+00, 2.41508158e+00, 2.42197450e+00, 2.43547165e+00,\n",
       "         2.45104065e+00, 2.45293014e+00, 2.47287658e+00, 2.48195668e+00,\n",
       "         2.48498982e+00, 2.49038364e+00, 2.49284591e+00, 2.52383600e+00,\n",
       "         2.53151106e+00, 2.55784916e+00, 2.58225788e+00, 2.59957893e+00,\n",
       "         2.60653258e+00, 2.62076283e+00, 2.64082429e+00, 2.64632646e+00,\n",
       "         2.66169652e+00, 2.67528341e+00, 2.67587464e+00, 2.68502096e+00,\n",
       "         2.68843841e+00, 2.69160174e+00, 2.70015535e+00, 2.70327370e+00,\n",
       "         2.70519517e+00, 2.71016657e+00, 2.74275028e+00, 2.76948080e+00,\n",
       "         2.77164991e+00, 2.77306830e+00, 2.78076572e+00, 2.81438811e+00,\n",
       "         2.83563942e+00, 2.86880237e+00, 2.93734675e+00, 2.95425925e+00,\n",
       "         2.97048535e+00, 2.99612601e+00, 3.05119105e+00, 3.09587722e+00,\n",
       "         3.13698858e+00, 3.14863959e+00, 3.15420385e+00, 3.16106113e+00,\n",
       "         3.17630853e+00, 3.17885248e+00, 3.28374895e+00, 3.31522501e+00,\n",
       "         3.35924911e+00, 3.36492301e+00, 3.37928758e+00, 3.39167520e+00,\n",
       "         3.43213128e+00, 3.44236252e+00, 3.49068198e+00, 3.51379190e+00,\n",
       "         3.51863449e+00, 3.54639883e+00, 3.59028282e+00, 3.60186445e+00,\n",
       "         3.60842541e+00, 3.62356197e+00, 3.62435482e+00, 3.70775947e+00,\n",
       "         3.77119574e+00, 3.77411923e+00, 3.78865606e+00, 3.82623299e+00,\n",
       "         3.85038072e+00, 3.90583579e+00, 3.91742016e+00, 3.92164428e+00,\n",
       "         3.94365191e+00, 4.01115877e+00, 4.03585326e+00, 4.08566920e+00,\n",
       "         4.12422663e+00, 4.16129977e+00, 4.22602710e+00, 4.29265134e+00,\n",
       "         4.34075135e+00, 4.39258352e+00, 4.55451356e+00, 4.57332676e+00,\n",
       "         4.68123124e+00, 4.81506981e+00, 4.96907500e+00, 5.19629589e+00,\n",
       "         5.44756599e+00, 5.54677034e+00, 5.82693947e+00, 5.91788133e+00,\n",
       "         7.00078223e+00, 7.00286602e+00, 7.28930967e+00, 7.54329756e+00])),\n",
       " (1.0820954562078822, -1.1516000812914096, 0.9985851545842098))"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "scipy.stats.probplot(v,(1,),dist='expon',plot=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that we have to supply an axes object (`ax`) for it to draw on.\n",
    "The result\n",
    "is [Figure](#fig:Sampling_Monte_Carlo_005). The more the samples\n",
    "line match the\n",
    "diagonal line, the more they match the reference distribution\n",
    "(i.e., exponential\n",
    "distribution in this case). You may also want to try\n",
    "`dist=norm` in the code\n",
    "above To see what happens when the normal distribution\n",
    "is the reference\n",
    "distribution.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_005.png,\n",
    "width=500 frac=0.85] The samples created using the inverse cdf method match the\n",
    "exponential reference distribution. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_005\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_005\"></div>\n",
    "\n",
    "<p>The samples created using the\n",
    "inverse cdf method match the exponential reference distribution.</p>\n",
    "<img\n",
    "src=\"fig-probability/Sampling_Monte_Carlo_005.png\" width=500>\n",
    "\n",
    "<!-- end figure\n",
    "-->\n",
    "\n",
    "\n",
    "## Rejection Method\n",
    "\n",
    "In some cases, inverting the CDF may be impossible.\n",
    "The *rejection*\n",
    "method can handle this situation. The idea is to pick two\n",
    "uniform random\n",
    "variables $u_1,u_2 \\sim \\mathcal{U}[a,b]$ so that\n",
    "\n",
    "$$\n",
    "\\mathbb{P}\\left(u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{f(u_1)}{M}\n",
    "\\right) \\hspace{0.5em} \\approx \\frac{\\Delta x}{b-a} \\frac{f(u_1)}{M}\n",
    "$$\n",
    "\n",
    " where we take $x=u_1$ and $f(x) < M $.  This is a two-step process.\n",
    "First, draw\n",
    "$u_1$ uniformly from the interval $[a,b]$. Second,  feed it into\n",
    "$f(x)$ and if\n",
    "$u_2 < f(u_1)/M$, then you have a valid sample for $f(x)$. Thus,\n",
    "$u_1$ is the\n",
    "proposed sample from $f$ that may or may not be rejected depending\n",
    "on $u_2$. The\n",
    "only job of the $M$ constant is to scale down the $f(x)$ so that\n",
    "the $u_2$\n",
    "variable can span the range.  The *efficiency* of this method is the\n",
    "probability\n",
    "of accepting $u_1$ which comes from integrating out the above\n",
    "approximation,\n",
    "\n",
    "$$\n",
    "\\int \\frac{f(x)}{M(b-a)} dx = \\frac{1}{M(b-a)} \\int f(x)dx =\\frac{1}{M(b-a)}\n",
    "$$\n",
    "\n",
    " This means that we don't want an unecessarily large $M$ because that\n",
    "makes it\n",
    "more likely that samples will be discarded. \n",
    "\n",
    "Let's try this method for a\n",
    "density that does not have a continuous inverse [^normalization].\n",
    "[^normalization]: Note that this example density does not *exactly* integrate\n",
    "out to one like a probability density function should, but the normalization\n",
    "constant for this is distracting for our purposes here.\n",
    "\n",
    "$$\n",
    "f(x) = \\exp\\left(-\\frac{(x-1)^2}{2x} \\right) (x+1)/12\n",
    "$$\n",
    "\n",
    " where $x>0$. The following code implements the rejection plan."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "x = np.linspace(0.001,15,100)\n",
    "f= lambda x: np.exp(-(x-1)**2/2./x)*(x+1)/12.\n",
    "fx = f(x)\n",
    "M=0.3                          # scale factor\n",
    "u1 = np.random.rand(10000)*15  # uniform random samples scaled out\n",
    "u2 = np.random.rand(10000)     # uniform random samples\n",
    "idx,= np.where(u2<=f(u1)/M)    # rejection criterion\n",
    "v = u1[idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((9,5))\n",
    "_=ax.hist(v,density=True,bins=40,alpha=.3,color='gray')\n",
    "_=ax.plot(x,fx,'k',lw=3.,label='$f(x)$')\n",
    "_=ax.set_title('Estimated Efficency=%3.1f%%'%(100*len(v)/len(u1)),\n",
    "             fontsize=18)\n",
    "_=ax.legend(fontsize=18)\n",
    "_=ax.set_xlabel('$x$',fontsize=24)\n",
    "fig.tight_layout()\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_007.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Figure](#fig:Sampling_Monte_Carlo_007) shows a histogram of the\n",
    "so-generated\n",
    "samples that nicely fits the probability density function. The\n",
    "title in the\n",
    "figure shows the efficiency (the number of rejected samples),\n",
    "which is poor. It\n",
    "means that we threw away most of the proposed samples.  Thus,\n",
    "even though there\n",
    "is nothing conceptually wrong with this result, the low\n",
    "efficiency must be\n",
    "fixed, as a practical matter.  [Figure](#fig:Sampling_Monte_Carlo_008) shows\n",
    "where the proposed samples were\n",
    "rejected. Samples under the curve were retained\n",
    "(i.e., $u_2 <\n",
    "\\frac{f(u_1)}{M}$) but the vast majority of the samples are\n",
    "outside this\n",
    "umbrella.\n",
    "\n",
    "<!-- dom:FIGURE: [fig-\n",
    "probability/Sampling_Monte_Carlo_007.png, width=500 frac=0.75] The rejection\n",
    "method generate samples in the histogram that nicely match the target\n",
    "distribution. Unfortunately, the efficiency is not so good. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_007\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_007\"></div>\n",
    "\n",
    "<p>The rejection method generate\n",
    "samples in the histogram that nicely match the target distribution.\n",
    "Unfortunately, the efficiency is not so good.</p>\n",
    "<img src=\"fig-\n",
    "probability/Sampling_Monte_Carlo_007.png\" width=500>\n",
    "\n",
    "<!-- end figure -->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XZXmy15sdF1G9+No2xdraWrMISkAnF0kCsWg06nFQsLGEtsVdAxyqyzs7O/d5w6faaTbX28TFTkjbHxeQdm1kekO3ObC4mGLA7fQi4xAWYr+4SXNDlwcHMihk7gj21q5day3bJjbWT84HzQbz/3g87gGwHR0dvvOpkFmFbB8BLfuzvwBwNnVrRxp5r3aCkt6yy5cv9wXaLGtgYMBjhwrAgHrXswe8a4Beo+Q6JO+zseEuFjgWixk1cCqVQjKZNLZFEqRJkGyT+vp69Pb25r2ntbW1nrbRMU4ecLkuSYeXeDyO+vp663tEh5TZgFMpcqMvKytDNpvF1NQUQqGQAQMu2zX2T6s0tdqVdXA+adBDAOnHmrnEdo+NxZR2iGQb/RxNdF9c9dnq8WNRH330UaxduxYnnngiHnzwQed1BJA2kDU+Pu6x+9bjTzU+MK3m5T1aJicn8xwzCNBGRkYwPj6OyclJA56Baechsr+SyQTyQbd8/rfffjsuvfRSfOxjH8Ott9560DF/lEMSAHIy2dQYZFk6OzsBTKsxcrmcdbGmkN3jomRj/4CZRVkuphKI0naru7sb/f39swpX4+d8AEyzXNI5xQbACjEvtkW30D1k0PSm63LA4LWsT3sk+m1ELjW9TbZv3469e/caD2E6UAQCATQ0NBSlxtRMMZ1M5MYljdTr6uo8jI4LoMny+/r6UFtba/pPRpabiAQBfnZfLk9OHbpIivRqJ0CSz0GCI9t8osrYpbrn/7QPk6DGBaS1uOafLXyRrFu+kwQlHFM+z2g0avqcSqUM+8kDJMeZzjN1dXV55h30tuWakEqlDGh2tY+gSEYS4L0sZ7Zx9GxAs6WlxYAxsoR8pmSe5SHTJa2trRgcHERbWxu6urrM9+Fw2MMYU43LvgDI85rn3zocR2NjIxKJBHp7e40qeV+d96TNVzqdRiAQsDp4+InNbk/bEtLmD/Da+klgw/bI//3s2mzOGryGbaAU691cyIGkGFtEFyNG9pHP02WvSJHPZmRkxPO9LF872cj+VlVVmfJ/8Ytf4OKLL8bHPvYxbNy40fSJZcp+AEB5+TQkoiMI/5djYHMwYbv1WB2Mal8phxQAJAiRQAuYXkCKYUX8DMD9GC2bjZ0UuSEBsG4QXDBtIVxSqRTq6+vNb/39/QiFQgBmDPolO2lrA/umv5ffUc0o1TQuJoPCTdzGTrhEOxvsT5gP13Opra3FypUrAQCbN2/GggULEIvF0NDQAGCaFbJ5EvqJC+jQTACAh+WyzUMbyyuZXRrYu/qox9lWprQH6+vrM6YDQL7nLwADkLq6ujzPgao7V9+HhoZ8Dy7yt1Qq5XFe2bFjB7LZbMEYcK7yC0XJd60FiUTCY39Jh66uri5UVlZizpw56OubDnLQ0dGB8fFxLFmyxOP5qp1nZFvC4bBxBnMJQRHniWZZE4kEtm3bhtHRUTNfdRxB1+GJbWJbpEaiWHZfMt/SPKC7uxtVVVUmWoB0AmE7pDpcCvuaSCTyDivAzPziXJTOV4UkGo1iYmIiz6NzamoKuVzOA15cHrMybZzL2zWVShlgx3AnMqSIzdZP1sPvbYBDqhh1mBHJRNlCoLC/NqeN/bFzk6zbyMgIampqDODh78ceeyx27NiB6upqAxQ1KKaNomwXf6dKlvcWC6i0IwhZPGmvSNWyFIaD4d/l5eWYnJw0rC7ngWRrX8swO6+1HDIAUIdp4cJfzOnRZvgsN1EJyLjwapaPDJFuiwyVEAgEjOqZdnw8PcsTL+C1E+zo6PAALbaP7CU3ILKaixYtymNXZB9c0tTUZD2tv172Wi4pFPKikIRCIaxevdrTf79YfmR16HW8Z88ej80ln+fcuXNRW1uLaDRq4hlWV1ebz2RE5DzUhww+dxdg0DZjts3eb2ykx6bstzSBIEBKpVKGnZIx5Fifrf3xeNwZw5GsGjANRjhPU6kUGhsb854B++IX5shlA+c6dBFsSLtJm60s2Tj2Ox6PY926dXnj1t3dbdaE3bt3o6GhAclkEu3t7airq0N9fb0H1On264Oi7I9ch1pbWz2A2WZ7yvEo5Gku16pIJGJYZtczlswu76OzWCFmW7aL7xHLHx4ezptzgFfty3cumUx6zAb83vNsNouKigqPzR5t46gGJsAAvOpI7VAhhcyVZLCqqqpMPePj43lrqgYdEvRI72ApOuSIDkkivyeAlGKzQ5Rly7ZpNaxuoyvkSyAQsP5eVVWFyspK0z/NFMq26L7LZ+bnxKLjDdri7+kQQJKxo9MGMA1mpS0ghaFipIOJXxgfgkjpYHYwyiEDALXKSXuxygUkGAx6FkCGGXFtJFxkpY1cIbWXbAvvSSaTxuZOs1463IgUF9shbXc2bdqE0047Le8a1huLxbB8+XLTbwBGJU7PSGAmRuHg4KDTYLuQWtgWAmRf2VWg+MwXrjrmzp1r6iqklnXZWfF/AgNZFzfrlpYWAMgLjWGbh1Qby3AuTASuQYIfU2rrTyG2WsZVS6fTePTRR433umZmJGCUqnuyf42NjYjFYtY2hcNhA4b7+/tRU1NjvJ3nz5/v8R6XBxabEwsws+hK8WMC6ewAeO0uqabn3I7FYmYDicVimD9/vilDzxkJRtjvQCBgnuO8efOsz0TW69cnm3OTZGKl8PdC76P+jWuQC0Dy2co6ZNu4flBtyzr4Wc5ZVzgYwB36iYdeW9zJYhyIuPFz8ybAAPI9RwvFzgNmPJol46fbNHfuXFOvzUFgYmLC2Kgx0LS0V6RQLSkBq2T2WJ6fPaEOETM6Oorq6moA04Dltttuw8aNG7Fr1y4MDQ1hYGAA9fX1Jk3cL37xC9xxxx3YuXMnMpkMmpubcfLJJ+Oqq65CU1OTB3xJG8CHH37Y9J1teOWVV3D99dfj/vvvx+7du5HL5dDW1oYLLrgAF100E1BE9+ehhx7CzTffjG3btiGRSKChoQFLlizBmWeeiSuuuALhcBgtLS3YvXs3AOD222/H7bffbu7/x3/8R9x6660AZtTLt956K+666y7s2rULmUwGCxcuxMknn4wrr7zSMPwy7M/k5CR+8Ytf4Oabb8Zzzz2HmpoaHH/88fjud79btDPNGy2HDAAEvGyI3yYoNxuXMbXf/X6Loy16vrxWfidBhM3Lt7+/3yw4unybA4oWHSSZjIJ2opCAhWMh1TwupsYlut/cEPZV5auDJfvV61eH3/2z9Ux12Zlp8G6bR1ptLGPIFeMgUShWne1+F8udSqWQyWQMiHUJ6wsGg54YifR41SCXbWxtbTXjkkqljDNLZ2enB0hLdebQ0JAns45trsjwRX4qaNl3Xiu9bk8++WREIhH813/9FwBg/vz5aG1tRV9fn8frWt7P/xnHkiGiXEwtx7xQlIBIJGJsMgmu0+k00um01WaS7KdtzvipoaXmQl6vmV3ZfqrFKRIMhsNh00ebU4o8dOjsPzZnkEQi4WHWbLbSWjNDFbBm02wqQJrP+AVQJgMUDofNZi8ZP1lHMplEbW2tM+Yd28AMGePj46itrbWqjOnEQSBF1auOzScZKu00Itk7Hc/uc5/7HH72s5/h3e9+N0477TR0d3ebw8/AwADOPvtsPPnkk5g7dy6OPfZYhMNh7NixAz/72c9w//334+GHH8aRRx6Z189cLufxXK6oqMBzzz2Hk08+GX19fVi4cCFOOOEEZLNZdHR04Morr8Tvfvc73HPPPYaVYzmf/vSnsWHDBgDAqlWrcOKJJ2LPnj149tln8ZWvfAVnnnkmwuEwzjnnHGzbtg1bt27FkUceieOPP96057jjjjNMYSaTwamnnoqtW7di7ty5WLlyJerr6/Hf//3fuPHGG3Hffffh8ccfNwd4Hgw+//nP46abbkJZWRlOOOEELFiwAH/+859x3HHH4ROf+ITnGcuxP5jkkAKAlGKZqkIiN3NuYPLEq8FGNBr12DyxLbJduo3yegnEaLcI2FkO9i8ejyMej5vFV5a9P6KZoNcidEexnpxDQ0NmDIrtmyuRdjH2ahQyGlKNRfWZbgefrWR0XA4w8pCi1cE2Rw19qCkGTBeyS5VCZ4Guri6PGlSaO/A7mfklnU5b7RyBGXMEqV5mDEwbw0lQWFdX5wmh4mJcpMOKVhVq+z/tkCTHndf39/ejpaXFAOFAIGB9fjoGZjQaNSyKjk3JsvU64ooRCMyEWOJ1mtXX7wX7qcsrVg0t1yTN7FK9D3jNQySr5/IOZxuZhSQcDmPJkiWGBaVdse3AxPrZVtehiOx6d3e3USdKQEfmi6BkfHwcwWAQ6XQa5eXleSFCpHqUYHLPnj0Apt/riYkJDA4O5rGLWs0qpayszGM+xPfKpXLWtnyZTAYTExMIBoMGQBLE2srQAESCRmCaKXv00UexZs2avCDIn/nMZ/Dkk0/inHPOwcaNGzFv3jzDhF599dW4/vrrcckll+APf/hDXl1UhXJcMpkMzjjjDPT19eE73/kOrr76auMwkk6nce655+KRRx7Bj370I3z3u9815Vx33XXYsGEDFixYgHvvvRdr1qwxv42Pj2Pr1q2or68HAPzbv/0bbr31VmzduhXHH3+8YQC1GvyCCy7A1q1bcc455+DGG280DP/U1BS++tWv4gc/+AEuvPBCPProo6YP999/P2666SaEw2Fs3rwZq1evNur39evX4/rrrzfll8LAvIHiYkOA6SCwNqN6ea+fJ6rcZDXjpjc8LvQETjqmWiFVs974bfY3tj7TfjCXy+VtAroMmzOHBqVkDjR74lLLuUCO37XF2q/xmmQymZcz1XbfgQSpsiw5D1xOGrxGAmfbuEg1IL2AacvJvmlHDd2OYqQYezqCMgKO0dFRz3xYsmQJenp6jE0W1b0dHR1YsmSJWZw5p2UbpSe0zpIB5MdfJENGkapnLZFIxKRR1Gr2YmyBCSokoJ4/f74J+9Lc3Ow5zMlDHwFaNBrFE088gZaWFrz1rW9Fb28vent7Tb+0NkKymcXaJdsYWZsq2xVz0CYylRvbyfs0s+ti6dPptFnb+JnBpmXsSPZhNmGa5O9kE205qWWAdCm2eHUytAfBmy2Gm0yZRrvE8vJyj40hr4/H49i7d695359//nnDGB522GF5AYmpAmbIFp1aTreVDKD0PCaALBR7TqqANSD80pe+hP/zf/6PZ7xGR0exa9cu/PrXv8bixYuxceNGE+KHbfre976HRx99FE888QSi0SiWLVvmKZcAkPXdeuut6OnpwTnnnIMrr7zSgD96T990001YunQpNmzYgK997WsoLy9HIBDANddcAwC45ZZbPOCPDOi73vUuUw7b7yfPPvss7r77bhxxxBG47bbbjCqcY3/ttdfigQcewGOPPYauri4sW7YMFRUVuO666wAA69evx5o1azw2mT/84Q/xm9/8xrDi0rayxAC+zmIDanrhpszWvkqW4Xct44CFQiFP5g7pESftCP1UdPpvIN8GSIKjWCyGlpYWj92Orfy6ujrr9/o7m50SRWYa8FPh2sZK2gIWA97ojAB41dd+G5wMDWJzeNF1+AHVYlSxxYgGklINSPWiZrpkPwvZLBZjP+l67pKBYQYXWSeviUajxt6Nc62zsxOLFi3CvHnzzNxjrDlZdzQaRV9fH5qamvIcDmx90f2dzTPQ9mfaFlg/766uLiQSCVRXVyMUCqGzsxPJZBJHHnmkMRpnP3RbWltb0dvbi3Xr1uUFmJb12J6fH+st54otSLk26wBmDnesTztfyHeGNlgcH9t77LI5JJO7YMECE1+wr6/PqPldZeoDa19fX15YHYZDol1sR0cHYrFYXgDq559/HqtWrQLgzW0uN3aKtq3jdy77Le34wDps6dOo/geAnTt34qijjjKgUl9LoeqZv0vgIEWGgpFgkethMfZnUqUs23LWWWd5riMYpvnRP/zDP1hTBFZVVeH4449HV1cXnnrqKSxbtszp8AIADzzwAADg7LPPNqFWmJZtYmICDQ0NOPLII9Hd3Y1du3ahra0NzzzzDBKJBJqbm/H+97/fA6hsntkEhcD0vLaFxfn9738PADjttNOscyQYDOLd7343du7ciaeeegqtra0oLy/H1q1bAQAf/vCHDUssQfuHP/xh/OQnP0EgEDCHjoPRW/hNDx3eQ0kAACAASURBVAClpFKpvE1ofzd1yRTYJBqNYseOHQCmPYlkvDmCKVcUfSl+oIjsirQD4kYXj8fR399vGBGXyGwBrnpsAIUbikxxFQgEfL1obe3g2LuYRJ3fWMYP4/jZNhZ5z+7duz3jXMguU7IpGtTOxrnCjx112YtSvbZ69WoDxLj5+dmTAdMHDu0VzvGw1UN7Ttt1qVQKsVgM0WgUo6OjJsTQwMCA2ZRpcM1+rF271gOyCBhsoZYkC+h3yJLttnnau8acc4OMlGa5/ULoyODa7e3tWLRoEdLpNPbu3QtgJsVhJpPB2972trw2aIDmGn+OTyHnHD0/XUHKeY0t5iD/l2pamxqa99vEtlbYDgyAN0c0D8vSPq+uri4PsGqnEJZF5w8e9mTgaP49NjYGYBpIcj2sr69HJpOxhkHRYVtGR0cRDAZ9PTwp/N0WDFneKwMLEyik02kEg0EEg0ET6LimpsZTjgs4yHRqEsC5WD0tsjzd7iOOOMLqBczMNzfeeCNuvPFG3/JfffVV0w7pSStB54svvggAOO8830RjAKbfr5qaGjOXjjrqKAAzeXxdIkFhLpezgm62o5h+vfzyyxgdHcXQ0BDGxsYQDAY9bZG2lFwPbY5pB5McUgAQmA41IG3mOKn8HlShuF0utSm9DHka7OzsxPLly9HY2GgWQC5q8kRus1mS9XAjkA4UADz2V/JEHYvFPBuPi/FxgTMNYLiZylAdUpUjYxbq+uQmZhtXV25amy2RvMf2fCS4SqVSHpd8Wyq8vr4+KwCR3pSzda7w6xMwPbYyowwPFDa2q66uzmp+IMsjqCA44DPlZmhTD/b29npi7snymS6MIEiqYaXdFx0Otm3bZuro6ekxY1RZWQlg+pAi1YDFsJi6v8V4f+oxJyOlwZ/foUiDrnnz5plx7evrM0HEx8bGjK2tjB1JpoRAUB4otm3bBmCa9RkaGjJMPa/ToseomEDZPOxIe7nZCG2pKJpBdYkEjpyzwMxhmc/cBvptcyGRSBgAosMFrV69GqlUyqyn8+fPN4eW6upqU9+uXbvy1LoEgnQyGBsbMxlBimFqCG6kcwNF3t/Q0OBhl8LhcF5gY53D1mY7qMGhDMIs7Q73R9hOW5xDAFi5ciXe/va3m8/MlCHl6KOPNm2WTDn7RHU3AJx00kl4y1veYhxNGJcRmHbIoa2tjOPIsD0E1Tq38GzGgWN67LHHYunSpdZ7eRg45phjzOHAVobtO51ZRHp2Hwxs4CEBALmQy7AaqVQKfX19xq6HVLFNLaLZn2KAgFRR0tYImElD19/fj6GhIU9MOLZLx7bSBukUudDK7+V9DKnBazWTJqWQMTX7HQ6HzeZAFUsymTSMiMyeoDddKVy06QEoswSEw2G88MILnuvp+VxTU+PJjhEMBp11DAwMAHCHA5HPkkyILXZcIeClywTcITJknf39/XmMCxkOhuB5+eWXzUnTL7uGTfhMeTjgvZLJ9bPnGhoaKqouPueamhrPPGlubjZAv66uzoC3aDRa0IlqNpJMJjEwMJCX7aSvrw8jIyPmHSvWEUoD8EWLFnkAXGVlpXHAsNnESfCogRq/o1MFAKcNq3ZYYfslAHSNmbRhpH2lPBjKseD77bLJ470uTYQcq927d+fZNvMQpsdIs4zyIJdIJIwdlQxsz7BAbL9MRUdADQA1NTUFtToyiDNzz2px2W75beDSu7ehoQGZTMawjATmBHFz5swxYFJ6+U5NTZnx0appyfoVClfjF9uvWOEhZu3atfjhD3/oKcdlb+gHSg8//HA8//zzuOiii3DKKad44u7pDCH8zLnDfYHAXTOfEryyjEAgYPXGZb9OOOEEXHvttVZgpudoKBRCZWUlxsbGEI1GsXDhwjy7TTqClZeXe3ILH2wOIW96AOgy+gamFw69qRdjgC3VKS4goPPuNjc3e+KZ6Q1GM1164SJDSMBIw/tXXnkF6XQaY2NjaGpqwubNmxEKhUwQYmCGZQiHwxgeHs4bHw0s9bixXdIuJ5vNesZueHjYJHpnH7kQ+zni2LKvSFZJ/i6Tweu8tH7tDoVCJlYXhQBWPktmQNBOP3wehYzopVeiK5OJZlFYJ8dfq0RXr16NTZs2eTwaJVtLdof2apRNmzahuroaNTU11vnJWJeFspEEAgHD+O7evduogquqqtDX14fOzk6EQiEDUJuamvL6J+2hKDrUkmSTXXawbJ8cRyn6naNtKG3SJANfDPOn41zK51tTU+OZHzosSrG2mX7Bx/0cVqRq1WXbKz9LIO9at5LJpNW+rxB7qNfQZcuWeRx7ZB9lKCvGFLU5VHEuk2UmME2lUp41FJieS2SwOzo6UFlZierqauRyOXR2dnpsAP3YIZcWyAWw/ECVdAiRzhmyfgl4JDjQ9nk21lKKK7C0bLt0IJExBCVwsQmvO+WUU/D1r38d9957L6699lqTMq1Yken2RkdHcfrpp+Oxxx7D/fffj3PPPdd6jx7zlStXIhKZNmt65JFH8P73v79gvVTLyswolImJCbz3ve8FANx33334xje+AQAm4w/r59yZmppCOp1GOBzGcccdh8cffxx33nknvv71r3vGNJfL4de//nUxw/KGy5seAOrFSTIfthdeekf6sXyztRe0eeBKGyXWx8/RaNSoPXj6JaAikyKNy6XqTy7sjY2N2LZtmykjl8t5+kL1rgYCwWDQuplS2Db2iws1s0XINsu0ajI2lzT6lwwlpZBdpE20+jIUChnwQRZEPgvaaHIzaW9vRzKZxIoVK3wN1zVTUeyc0HNrbGwM7e3t6OvrQ319vcksQnbIZXqg1f8yowe91V544QUkEgljd8rDge0g4mK46REaDoeRTqfR2tqKxsZGo0KmCUM2m/WYMAAz5hYtLS0eswC5yWuzhkKiWXH5jkoQxmu1zWqh+JI28wkbaHznO99pPkvGmCwyGTq9btjsGf36KteuQCBgVM0APBmEmpqafB2lyMpLezmbaPs+hrXRjl96PFxM5fDwsCckDP/u6OgwZbpU3pIh5f06R7pcPzguHOdMJoNIJIJwOIyxsTHDBkkPUT3+EqRpAGJTwwIzNoA2kCYDPPMeW3w+W2YPP2GgaIq2I5QqZims2+UEooVtPPbYY3H66afjvvvuwznnnIMf/OAHWLx4sSljamoKyWQSv/3tb3HZZZd5Mm8A0/uOZFIvvfRS/PjHP8Ydd9yBt771rfjyl7+cl0t3586d6OjoMAGhKyoqcPXVV+Oqq67CZz/7Wdxxxx1Yu3atKTeXy+Gxxx7DO97xDhPc3+WwyPLe/e5348wzz8S9996Liy66CD/60Y/y7HkTiQTuvvtuXHbZZQb4rl+/Ho8//jhuuOEGnHLKKVi5ciWqqqqQTqfx5S9/2bNXSrB9sHkCv+kBoBQZNJmLi2T9dPwvl7pPMi0aCNhAo1ZRSrAn7Vnq6+sN+CNrkUqlMDw8jFwuZ9SCsVgMQ0ND2LNnj+dELY2ppR0WMPMiJJMzIVMkW0XRTCTVQqyD9ko8FWkD7iVLlnjYKlkmr7cBK44p8w3LMUylUnj11VcRjUaNTcnY2JjJ4avVtTaVPzcmHY+RieyXLFmCBx980NjFEdC4AJisj2MgX3q5UfrZj9bX15s2Ethv2rQJwWDQhIABpiPqb926FYcddpipy8VkSU9OYHr8tSeq7IfNs9Y299k/fb02EeB8TSaTmD9/vgmEPHfuXOu48SBic0TwY+skGJTMfldXl7mGanQCzELlyr63t7d71KMuRpjqb/n+h0IhAwJ1iBl5rXTEcAl/Y4YOYCZ/NUM8xeNxdHZ2oqWlxbwPg4OD5hAlbbGAGbZLr1myXwAwODhYMEC17Jc+UOgA0VyTurq6jM2jtp2Uaw6fqcxlbhtLAJ6MSjy4kDnctWuXVUUoPVB1NhC/dGh+KdWkVFRUGLtCGwtlu56i07zJumwqYaqPR0ZGAMCZY7cQyNQghZ9//vOfY+/evfjd736Hhx56CMcccwwWLlyIkZER/PWvf8Vzzz2HbDaLyy+/PK+fEvASgP7ud7/DmWeeie985zu44YYb8Pa3vx2HHXYYXn31VfT09CAWi+G4447zZARZv349du3ahVtuuQXve9/7sGrVKixZsgR79+7Fs88+i97eXjz33HMmjuOKFStw2GGH4ZlnnsGqVatw9NFHG+DHcm+55RYkEgncd999+MMf/oBly5Zh8eLFGB4exksvvYRdu3Yhm83iggsuMIzimWeeiUsvvRQbN27Ee9/7XhMI+k9/+hP6+vpwxRVX4KabbvI8U86bEgB8g0QCBWm34/KCK/aUC3g3Dj/VsL6W3njd3d2GlYnH4xgaGjLfy4wQ9E6kXY9M4E4mLpmciSdIez2e4rnZxmIxRCIRs3kAMymNJDMaiUQ8QVnZpn2N3+VSs/A+6VhgU53a1Mc2aWtrM7G6eB03kN7eXk9KLoYpqaystDJifhKNRvM2K1dMRdlXblwyIHI8Hkd3dzfGxsawcuVKrFy50oS7OP/88z3OAwT8yWTS48VbjAmDlEIOTtI5qa6uzhxaysrK8mJkciPnM9SstD6FM9yHVg9rBx1ppuBi5SnSY9QGDIrxTue1yWQSLS0teeuB692W7zVZcD97On2v7KcGyvq5Mn+1HAdthyiBOQ+ajAkYj8cxb948J9jn3OSBkc+y0PzSBwrpeKXtaHWmm0Qi4YkfCMCsa3LMbNoYXb8MgeMnmnWy5aYt1nZLsnw63y0/S3Al/7aBMqpsdS5ftk0zfGSYstmsNWUcRbKQLqcHzU5WVFQgHA7jj3/8I+68807cdttt2LFjB7Zv34558+bh8MMPx+WXX44zzjjDOlaaERwdHcXSpUvR0dGBjRs34v7778eOHTswOjqKt7zlLVi0aBHOO+88fPSjH80r5+c//znOOOMM/OxnP8PTTz+NHTt2oKGhAa2trfj0pz+NI444wlw/d+5cPPjgg/ja176Gp556Cs888wyy2SwmJycNAGxsbMTDDz+M//iP/8Ddd9+NHTt24JlnnsG8efPQ1NRk+iWDiQPAhg0bsGrVKtx4443YunUrQqEQ3vnOd+KXv/wlnn32WTN2IyMjeY4qB4scUgBQbiLJZNJq++Sn7pOLF2AHIMWosmQYBCA/+j+ZNl2/7Acws4BqVZe0FUsmk8ZGhira1atXe1g6qRLPZrMGLEpvZGAGDKRSKY+jh07XxPbZgIU00pf2XH4OEy6bqkIhZXRdWgXPzwSzZGptm7Otbs08SfVasepMZtnYsmWLyZxRX19vmF1mGuD1BBWMPs/xYnsYNFqqB4GZfMe2sfILn6NZGeYEphAw00SAal9uvH19fairq/OEAOH4SnCwe/dunHPOOaY/uo18Xi5Wnte5PrvmkK5Dto8xDbWXuVYbStDHOUfGzc+uWL8fbIPNpk+rzWm8rtkyGVx+eHjY/MZnVswclWPA50obZhtA1UL7UorUhLDccDhsbABd3ud0IpJxQl3gW46lrIc2nMxj62LYysrKMD4+7gFVDMqsvXFtzg0S9Oj0arIOCa4KsYzA9DzSwEHewzJ1SjmGwykvLzdtkQGktch3UYqM5Udm9IwzzjDxAm3jobOtAN4YhxJ0T01N4Ytf/CK++MUvmjGRzh0u4H3SSSfhPe95T97vMkUe23TMMcdg8+bN1nIoVVVVOP/883H++efnxWCUmWI06L7kkktwySWXmOuYynDVqlX4+Mc/jurqavOcWc7BlBrukAKAcoGORCK+wYO1YbIGKdroW0uhsDHcNLu6ulBXV4dAIIBt27Yhk8kYjyUa8ss4gbJc199yUwBm1KhMS6VZG2lMLUXH1pMM6ubNmw1w1GnhZD/9RKty2CYdmFcyALKfMrCzS2RsPGkLuXnzZmMjBMzYrRVixGTbbYeB2bBvwIzNlWQ+N2/e7GHFMpmMARI00h8cHCzYHpvpgm6fBjN6zOX/NlWgHwOaTCaNM5K02WOdfX19BsRKsF/M+Os2sww9t2UsPl2uHg/toEP2vRjnFADGEYFqcO3Za/tbz2mKzsihbWWlRzfr6enp8TCn7e3thonu6OgwYI5t0OGm6FAk8/ISyFJFK/vgGgvJruvv5dguX77c+Q5r4G1bn11jacvlLlXAFBsTJ4EL2TsZiFk6VfgJ75EMnC1si2QZbYCA4VJkGrhsNuvxDibbJ1PKcZ2zBbt2tVf+ThtD6Z07NTWF6upqqwrcxZI+/fTTAPLJEl5PFpJjwzFj211giX9LJxmCVdokSrtKPy9pbdfJvhcbT1GWwXR8sl5tH3oweQIfUgBQqgOlTZgUGbPKxRhx8dIqIwoX64GBAc+ipyUSiaChocHEtmJYCWk7V0iVLP+WYRX0ZsxFnu1hufx+YGAgz6tRns5lfYlEAqFQyNduSYqN8QSKU1dKIMvgyASiVJ+yDmlXKUPKSDUp7eFkDtUtW7Z42NRC/XIdBqjeng0IZH1+oGf+/PmIx+Medm/v3r3GqUN6qvoFFac9KDCzicsDgS32oBQXoytNBCQQTiaTWLlypbmWIFa2kV7CMlwIgYifE5Zmj2UsRRnjUNpy6uei41vyPnntbMCoBNO1tbVWG0CODceK7Zfe/QBMdhRtktDd3W1dm9h+LbyWdoryWekDnn7P29vbEQqF8tY69tPFBtrYdZtoVlaWJWNeSrFpY/zWSJdI0FcI1Lk8gLWdnAQcmUzGEwRZMluZTAaZTMYDcGQoE80yyZiADB5N9S5tGGUbJicnPd/LPhSb5UQymBK0FMtYff/738cjjzyC9vZ2lJWV4ROf+ITn9/HxcQMAZd3j4+N5INPGKAIzeYw5PhKsTk5OorKysiibS91vGT5Gt81m96kZTcka6+DjjIP4RjN/lEMKAGqx2aMVu3n7gUPbYk1QoTe1dDrt6wk4G7G1g3H/XOwFv5Mxxei1y/ZKloKb1ejoKO677z7U1dWhurra2H9pdTDr4CZWaLGWm38qlTLhImiPxfiJbJ8EBnJD1fZ/Wq0oNxut/tAbrN7k/A4D+yI2RxxpDyodBQhSqNoHpsGC9KwmE6bn99DQkGGJ9Abtsm+1HQBcJgkU/u4CTwQeXV1daGhoyLMBZJl+G7xkhfX30jvZFipItkOafugDIdsvncY4Fxn2iPOM5RHcBgIBqw2gC7wBM+A9Ho8b9o9qfSn6IEShql2qP/fncMIypAaE5UnnNb8ypfpfg0iOK+caQS+AvAOBnoPFimsOFgrtwo1cgi+CJ6lutaUio82XtNPj55GREfOuSmClVY1SZMBjqqo1qyh/J/tXU1Pj6Q+vt3khFyNaZe5nw/j73/8ef/7zn7Fy5Up84xvfwIoVK6xl2lTyLhtE/q3rkhlHCLzLy8sNY1psX6UqneBStssWMscWdkePx9TUVJ4avgQAXyeRCyI9AoFp2yidAaEQ60CZrYoKgGfjTSQSePTRRwFMg49YLObxaq2vrzdZBPalLj/hBqTBgVR/cSNsb28v+mQt437ti2j1mxQZ/48iMwJI4fOjHaMN2AQCAcOG9fT0eDZYG/NZSNXsBxb3RSSAduVdlVJbW5sXL1G2R85p5uwFZuzCpN2Yjjfn6ovLxgvIZ5IowWDQqBeB6QC57F86nfbYehUSP8DKd8Y2P/R40CyAIW78gC+BaHt7u0dlT+E4hsNhNDQ0GDtZF5Ol+8DDjYxZmUqlsHDhQqNW5UGLjksy+DVBEw+U0gt+cHAQiUTCXE+waQtTw3dDHrI4rgTAVDsPDQ35PrMlS5bkqYzley5T0gEzzjtane0nLscyW7sIWqSjBuDdyP3UdfxOb+JkjFhuRUWFAWbZbNYajJn32ewAyYLt2bMH1dXVnmvo5EGQMT4+bmK+agZKM1yyP9LOTarDNcByOahIj1YNaB566CHr2ElwawtyTYCrxY81k2F75JjPJkWeBsrMNiJV1GRVi1HnusICce4dLPKmB4CaSZCG8zoyfbFqBb8NKhgMejzZaNgfi8XMiZ2qX8182DaKfQUT3GBcNn/cECSTItXI8h72K5vNmvh/mUwGjY2NxuiVbZebrg1QS1svKZoZ0aohMjAEKIxL5zIIp0MCRQKbZcuWGfVfOBzG6tWrTYiZlpYWw7CRfXBlEWFdfv1wSbGHDRmXTarwotFoXggdmwwMDJixk2pfqti0x62NCZNt5vydrfotkUiY6PgytAdjEnIzsI2fzXaPffEDrAQw2p5Xtp1mAcV4CWtzBLaN5UnV+549e7Bs2TIA0wcIbQJBBo8sPQCTrzuRSGDLli2GMdd5nQkCdVv1s9CmJJKJ19dLlk7OS4ZNksB9bGwMW7duxfz587FgwQIrU0fR5ennQZAs28xYmMUCQG0PS9FzianJbKm8bE4bWrRDhASN3PDlBk8wo4EIRao/2TZmBZHMnryGbZXAjQeG2dqWEcRqWzbJSmr1pos1pdjCx1BswbEpUkXK/ktAlk6nTWgX2xhStLet35jY1Lwcd6rZ5VgR+LvKYjmSNSagdgH9N9oR5E0PALVoVcZs7NFsZUm1RiTiTfvU0dFhVHVcJLlQ2pgduWDtC5Mkw0hww5GxAyW4IRPkYtyAmUwcWoUTj8exZs0a05eBgQHTN8CtlvUDCjJQsGRF+H19fb1hEwhQ9D19fX0eMESV0qJFi5DNZj1qbbn4MLsAwRAZD90nm9ptXwF6MSDKZV8FwOTT1ddosJTNZs248XkRgA0MDFjtBV2sczHg1tZmPh+ybHy2CxYsQDabRSKRyAtA7FeeHjsJWCU4JMOlw/K42EPX4YR1ch6xHxwTzaoB08y+Ld80nzXXhmRyJi2krEvmjpVjQZtWlgX4O6L52XRK0aYqss5sNus5ODMbkJ9Jh3QmoRC4Un0OwJMXWo6Xztyjy5b9dR3QtGmNNMiXnrquTBg2VSP/J7DTzB/v0+wRy7LF5dNtkxlApPesthMkKAoGg0in08YmkECUwjYWiv9nA8YanNiAjFZJUwi2iwU5EqxpG8RQKJSXFYUA0eYcor23Zft5nWYG+f+cOXOQzWY9zikMJM5cwLbQOhJEyu+l/aSfJ/YbIYcUAJThBhobG00aLte1gD8Q0x6qhTbHVCqF/v5+Y/BNdU9NTQ0WLlzo8aa1lefyWpT3APk2dwz7wj6TLenv70d7e7tZ0PVmyc2MC7kMJk1VE8fPb6Nx/SY366GhoTxVpDSi7+npQTabzdu0JSslNySdn7W7u9sD3qQRPgDDhvlJMfmEWTbL3F/bQD/Vmu0aPT/4XSQSycsuYvNA9curbBsfFwMqDyMcGzo5UMVOgMLDig1sF/NeyTa4gLUeI64B8mCiPaD5HT9r21bb2iFtb/0y2UgHjM7OTqxZs8YcpKiCpbmKzo7T0tKCWCzmCZ6sxwGYYX/5Xulc21J1yusYtBuYBmEMSq/bbjsk6PVIxl+U4yWfS0dHh3kPo9Go6XMmk7EGepfl2d45aZNJ7UcqlfI4V4yOjprsHHREsIkN/MjQLSMjIxgbG8vLISy9ZfWG76c2tLXDFlBZfk8wK9k1tlUDEgJWya7R3o2Au7KyMs9hQQIaCWzHx8c9QE33k2DUJpJd0/3TTi0yoLX0otaOLra+aymkDpaAVTODbLOtT/IAIB1AbKD6YJJDCgDOxs5vNsBOC+sYHh42DhIED1zQ2AZuQmQQdLgHKWwLgZGtba72ykWddjw6thlP33pDkRtZNBo1EfzZV2BmcXd5/blCcEhWUasipRF9T0+P8Vr2YxM5hmQK5cZgGxepupLPRLfNL8wLr/VjOv0OEvti5+k3J10MF/MfS5tYbXenQ/pokK7fl0KHIz2Ozc3N6Ovr87yDfDf4XtiCRsv2aMbT1gZbKCR9vVZP2tSV2n6NZdgONbJO6Ywj7euk8wPBztjYmDlkLV++3HOQkY4sfBYE8VKtb3sWmrnTjF0iMRMAX4aZIlMuzS3keyQjG8i5azsQy7lmsxvt7+837W9razOHPL328LkXYjRl2+R7u2vXLo93bmVlpcfWrBiGSrJ00quXIsGPzTZOqkpd5ctwL4A3HAtBFz2I6ZQwOTmZ55ThUtdqm0AAHpWn9KiVYEwymWTi6C3LNSObzRpAzPFwqTolGKVoJpZtlSp26Yij72Md4+PjTq9uglr57AkqZW5mIJ/t1OFdtOe3BNX00gam576cK8Wm+3s95JACgIDXEFnbAErhguOKkwZ4nUoYikPa9sgFl4F7pS0O28E2bd682ZonV29yvb29Hq9d2Z5YLOZJYq/VWrQz0plQOjs7PXZ/TL8mTztDQ0MYHBzEggUL8myNWD4DD+vQL9pOiCyHC4yzLH4nwYcfU0dmbMWKFR4vYC2sQ9qeyTYAMweGPXv25NlE2uKTFWJBXWBJM042u0nNgviF1dFgQI4Bc7vK8v0yl7iAsBRbe+QmLvvDUDZkaggKeSjhfGXOW+3g4cd46nbbwtNoKRRyhu3flzq1+leOpcyFm06n85w/KFo1zPvJ4s02/ImtPYnEdIaZ1tZWw7xLe1iXjWWxZipke23MrHyXJcOq66TKnN/zedHO1wZqWRfgtXeTgYJtGTUKCQHE5OSkyQ1LMKBBIQAPKCu0+WtvYu096grPotWhU1PT8eyotgS8QEfbzVEkk+hKd0cgW1VVZcKmsHyuARwjP9tKPwcVfZ1LXWu7z+ZoI5lbjgedc6TNIcsE4AHBdCqR1+lnpTOraIbyQHhiH2g55AAgMOPV6VLRyHAbfqyHdiqRxtZatBrFxvqQ8ZJMEv/mgtfR0YFoNGrUttLrr7+/33jnxeNxA0TZJ9l2aYPo2ixlnwAYRkKOm7QZSiQSxhtNq6H1RsWNTW4Esr+pVMoTCHfPnj0ml62f04Psg1YTa7WkzRbQtmkfccQR1n7YnrWL6Sz0naxPb5S6Hr+x1WBGhgEZHBz0AAqqEQOBgNOGE3CDdM2kNTY2eoCEZFQBeMK+kDXgPJROKWRvCQLpmQq9lgAAIABJREFUKKLbUmhMiwEnsg/sn1ZN28KuFAPm/USmaevs7EQoFEIoFDLPgZuUthWWDlEuL16XapTXybI437j2dHd3Y82aNaYvfk5BWhXLAzGBLNX9MrwLD9WSedTzjZmGUqmUOcz29/cbm2YJDvm7HH8JkiUDSBkdHcXY2BjKy8s9DJtrM7YFCw4EAqisrPSwOhKsyXttNmrFiARcrpRuWl0rVbT8np9tAEurdDWTKPsvHTKAaXVxKpUyjg7BYDDPMcZPXKpam3dyIeBcyMlCs54S+BcCorKNLkArx1czpcWaALwRckgCQG6CLtVbJBIxXnY6/+VsnTOCwaABLDYWSS7YZO2k3Q0XtGg0ih07dqCxsRENDQ3o7+9HLBbDihUrDGghG6nVlTbbJm1079cnbjjAjGpry5YtqK2tNbaBZH38wpbIvqbTaQMWGAhY9heAB2zmcrm8jcJWvlbVAfYUWxpk+YFKP1suveFKphOYCS7MuoDCsdP2R3TfdNovAo50Om021lAoZBglFwhmu/08jzWQ0KBBer5zzLnJAzBmE8BMCBPmRx4cHPQNJO7HsPI9K3bMeR0z50iGUv7uJ67QJMBMthnOnerqajQ3N5u5Qna0u7vbCvL8zA1sc9vWN8A7ZhpESXHZ+9nq0wdiW8gcbYtrM78hKxkKhRAOhz2p7AKBQF55NrG9t9x8yeAB8DBAUr2nY/xR7RkMBhEIBDA1NWVSrlVWVpo6JBNXTLo3l0gQx7bJdskMHZOTk3kOIy6wolWXBH+02dNOI9pTuby83Kg4yaIx5ZkEN1SBuoCeHCcdN096J8t263L2R53Ke4sNzGxjFm3t598jIyPmPsmSlgDgGyAyDRyQr+oDvNkkYrGYsbGRQEUumtJRxBY6pbGxEdlstuhFmb+RvZMi8/lu2rTJMCKumHFy0ZbqOc0E6o2ReTx1nDCyMFzkJTulDd7JAixYsMCjhpaSyWTM4qnbK4VjJcOe2ESythxLm7hi+knWhW3lXOA4MJ2edtZh+6WKm+NqS5/mahvr5v16TpHp1eFECoEbOWfZJsAbiqGYOI7yGUv2R45ROp22epLSCxjwhlCho4B0yJLsLT1v/UKXFBIyWa4xkuMnVfuhUMiMlY0F8xt3V3pEID/wN0Ew6x4cHDQgyRXMWh5oCrXFJTYmTs8nbTvL+W9Tz/uJLJPzW46HzQwik8l4AqLzMPPCCy+Ywy4wkwFFMsW2NmlVIDCdMSKbzZrQKhSbs4AOD5LNZj1OJ9oJACgcV5DtctmdpVIpTE5OIhgMWm0WpVqTII7fS9AhwaNkvKQ3tGSw5DXS0xmAx76NnwnYNLi0Bc22SSEA5nLe0Cph2gC6ALb2vAa8Nps2BtSvTTZbT9bN500nHdmPg0UOGQAoGQQpAwMDnoWJfw8NDWHdunWGhbKxRLb7NMArNgyDNlrXTBLgXbDJEkajUdM3bXjOhTQWi2H58uVWey+9+HIBlWpfv7Yy9AqNx8mY2GyUeB0N2WVYFtsGMjw87AE+ft61BDYSiFGNJz0gGfSZG6yslws5N2gCB9ZZKO6aVKNqMBqNRj0sm6svNucJ26HBz66NQu9pPe/9NmsZO9FWnhS2saOjwwACOidJ0M8xYQgYqnvZD9knAqFgMOiJG2iz/9Sp3Pzmh02kY4G8nuXQC5b2cNoec18cxLRwDFm2doChk4RNXA4Ytt8pOkwOMDOmNqCpgay2q3WtD319fUYFHI/H0dnZiZaWFs/YsY3JZNJz8OGcbWlpMfOKGUl0ve3t7U7TED0ekskjmKNDhw1g2L6jdy+ZHOkQIcHF4OAggsGgNd0bRQal1mzjxMSEYRsJMgk4dX+AfK9bCULk9y5w48ek0ZaPDhlkT9mu8fFxA/Kqq6utgNcFcKX9pbSRk/EWdSgdOX6ybI4jr3c5wfgJx2y2Y8T2yOcnQfJs7UxfLzlkAKAEI9KYXS62WkXZ3t5uFlbmYpULtJ8Homtj8tt8XepTyRgkk0mTZiocDpsFWoZ8YRu4kNJWxraQFhJ5cicrlUqlDLhJJBJYsWKFYQdlfDDtrEHHj6GhIcyZM8cAs0AgYFXTUXXU3d2N/v7+PDBps3kiGyABG0E8U2zpLArS1gvw98D2E8kQa+ZPMoPa47lYmQ3LI8E/wQvbyP5oQNrY2JiXFk+LzcB+eHjYynRSJJDVTBrHhAHGpe0g2T+2WzNH8p221eti/aXXt994kgHkfPCz8QX8HXgAf1tKvS7YmGr9/AsxmrbfbQcLP0Zal+sKhq3bs3btWk8/9XOXZiWANw+zXEP4dzQatc496TgzG0AuHR9kzEW5UUsVp1bHMhsHr+c80x6r0v5LewG7QAowDURYRiqVQi6XMzH/MpmMYft4P8FmIZEgi+2lnZq0M3TZ8hH8SvDM8ZSsmx8A4nhIJxdeI2P9UYUqwaB0ZHGxgq7wMFL8bAblNS4VvrYplF7Ash0AjJc2rztYgkADb3IAqD1kCQToqapFGxDLOFZygfZjXmyOIsV46sl7tLelzXbNBWKl0HA6nU4jk8kAmAaZMt6eDvEgN0yqpsgYSraCfW1sbDSsITdKjnN/fz86OjrMqZ9glOrATCZj7KtkSiu9UcpNR46J3uToPDCb+HsEx7SFI2uxefNmhEIhA8pl/Dw+C2kCQECl463xPsm4aink+WvzRi1kYyYZFjLAEkTp+Ih+TiA2plvbZ8rwJoXGW0skEjEZOaQTBucDnUGoArQBAVu9LtUxx8gVJsbvoOgKZ+J67yVgLLQmsOy+vj5PEGWX7ahr3shxLVbkXAa881TH5+TYSJWr7CfnKYE9gXRHR4dhNGmvxvdNRhaQdbNdUrUrx8/vPfATCeikuo7fSTBiAxMS4I2PjxsbQKpBbU4Q2p7NBpAkKJAODDIdmQSUNgBClk5+liykTS0tmUGymS7PWBkPT4bDsTm76LG1MX5+z0jfp72StSNMKpUyoN0PaGn21NZfjrcsS9Yv1eeyPzYGVDqdaDOACy+8EL/61a/w7//+77jwwgt9x+RAy5saAMoFWYY9oZ0bhZuZ3Kil2owbEDDtOamv1XXORmysjk7qbttcyVDyem2/Qxsm2hS2tbUZlk57stqcXKStn26fBDqsG5iOMyfzqba2tpqYb9pjcMGCBR5Wj5s92y6NwCkMWq3tI+VmqdO4RSIRcz3Hkexbb28v5s2b50nJJ1ksaVdIj2v2Wc4t18YvzQb4PMl4+gEHG/DS4mdjZpNUKuUMa2K7VobvsV2rGXXJPLvED5iTAQbsjizajpG/zdYeUL5XLjBDkankOHcKeY3L3wq1w8bmyTkGTNvKuoJK+7F5tudmY/Pl9TzEMGc5gDwbRDnmerxs7ZNxT3U57BfXVrme0RbVLzA5MB33zw+QUyRQ4GebEBRQtamDK/t5iGrQZ/OqlcyTdD6hapnXsI1S9SmZJNbt8l6VzCNDlLCNMkOHZASLscOT942Ojpp1yHW/K/ahX4o0CaJtHsmalZNjFA6HnUDLTyoqKnDJJZfgV7/6FTZu3IhLLrkkTxUs62S/imESbcxssXaGr7W8qQGgS1pbWz1AR25m/F4yFbRtA5CXoqmQWq6QcbRtoZY5g7XKkPXJhVlvhHpBTKfTJvevFm5UmqFi6AsyhLSda2pqMpuRDuXC+rmgNzc3I5FIoKmpKc9JIhqNGoaQKlmGAeEYSFaIY2ljqlgXf3epICORiGEgyPxJkK1ZPpYrAR3b53rueuPns+KY0duTY2IrQxv321SHLoAh28WxikQinqDBUnQ4Fwb+tbExUvQhqhhnAL/3hO+iDlNSKJizzanJLwyKi523AWoeHFz3uJj3RCKB/v5+jwOPbLctnqGUyspKNDY2mqDZFFfYl0hkJrSKjKuox0qD6GL65Mp+oyMY2GKiUqhu18J5xvGQ6xngdQaSIlm/YrUtLtZLAkO5ecsQLzb2Spct1ZRMzUa1rI4bp5knW3gXpnMjy1dRUWFYRt6nAYSffZ0rQ4dkIWV/pC2bvJ9CcCxtDbXY2jI1NYXBwUFks1lUVlZ6VNEStFJGRkY8KnhXSBfdX5vsi/0j72H7ZHYSzRry2cu+6xA6nG/FAO7XQ97UAJB2cAyyGo1GPadr1+bLRWX79u0mrh0Ak4GDdnDyepfojUq3z/abXNj1wsn6/EKTaCFN7XK20G2IRCKGdQFggI9OJ8fTe3d3t0d9zPAinZ2dBjCTXaAai+xBNps18QsJPlxhUrQKEpjZoMhIcuF1sRM1NTUegAp4PQw1kOBGx7nDMaFtnc4NTJE2jRJQdXR0WB1KWCeBqPaw1EBSq+5lnDyprmd50uEGsNunRSLT4Y+0mtPGkMvx9Quovj8SiUQ83ue6Dg2kNBgs1vyC5djqL3Sfq93y8GI7kOj6JJhiqrfm5mY0NzebOWYrS5bDNYnvXbHqYD+1trZLdrHTZNa55lJc3sWNjdM5xF3jwTGxyWzYb1sZGpAB+WpACeoK2WppT1CCrEKBkCnaaUHb3En7Pr80ci5GcGJiwppWjYDGBoDlWJGJ021jDEWCIb+sHxTtLGMLG8M200GG4+AnGszzb9kWOcY6zA8wM6+y2awpR7KleoxtfXOFeSFIrqmpKZgR5vWUNzUA1JtBPB43HmMdHR0eNYSNWdm7dy9Wrlxp7k+n0x5GyLVw2URvVFLVY4u0Tw9Hevvq9nEhjkajebZpLIOG9blczqNqoUjVaWdnp1nwZV2S7QuHw4hEvA4ONtVZR0eH8fiUUl9f78lCIUM8AF62jX2RfZWiHQCAmdhyfptrU1OTGUOpwtMAXLdBZlCRbbW1iyI9gcl0uhyJ2EZ6c+s5kUgknE4PLMsWfgWYsY2ksN9SvU8QMDw8bMaIYLxQxgnbYaRYhxWbE4/st2uztx2QZuuV6wp5VEhV7eqf7gufuX7GFM2ayufZ0tLiYccKHTLlOkcGUNow24A/77HF5eM9fqyjTXiPn3MO26xt/dhWZovp6OhAU1OTCSRdyLbXtk6wjmLCb0jWi/ZfEqz42RsWE59OBjiWYEyyQlK9ynKKce4oFqDKgM+y7PHxcXR1deHee+/Fli1b0Nvbi4GBATQ2NuJd73oXPv/5z+PEE0805UxNzcQZ/NOf/oQf//jHeOqpp/C3v/0NtbW1WLx4MU466SRcfvnlaGho8MQb7O7uxoYNG7Blyxa8/PLLqKqqwqJFi7B27VpceeWVaGpqMsALmN7HrrvuOjz88MPo7e1FRUUFli1bhk9+8pO44IILTJvYzxNOOAFPPPEEtmzZglwuh+9973vYvn07JiYmsGLFClx55ZU49dRTzfWxWMxjVnT55Zfj8ssvN583btyICy64wNgY7tmzBzfeeCMeeOAB7N69G7lcDkcddRQ++tGP4uKLL84DwnzW3/72t/Gb3/wG8Xgcb3nLW/DBD34Q3/zmN2dtznMg5U0NALWk02mzmEkmRUaqlwueTs3E4Mwu1ZQf8yRFLtjc6LUtEwFXKBRCf3+/1WkD8KaF07JgwQKj6mQ9gNcbl+rtxsZGLF++HD09PR7g19XVhc7OThOzLxqNoqamxiy2tskrVTsEltKoX28oZJ3kb4U2Yz/2RTIQerylDaBNbSnBOVk4quFGRkbwyiuvAIAHnNfX11u9TRlMXNa5ZcsWK6CSjAo3ce0IZPOUBmYcnCRzKGMGynAasq86Dhww49AhPTELiWvjtT03G9utwYsNMOhn5AqwbbvHBViKCXmkRR7QZJk29jEcDhtwVYid1La2Uv0sHXoA5Gkm9DzmO8/7dZ26Lj02hVjUQiFnCpm9uIT1ynnHZ+wy/9AmDC6R76cNUEl7M21flk6nTco3zjGpRpWi4+C9/PLLSCaTmD9/vgmlwn8Mn6LLymazBiwxFIxk4HQqN5u4QCP7Z3NU+Na3voVHH30US5cuxapVqzBnzhxEo1Hcc889uO+++3D77bfjQx/6kKfua6+9Fl/72teQy+Vw9NFH413veheGhobw/PPP41//9V+xbt06fOADHzDjcvfdd+Ozn/0sxsfHsWTJEpx66qmYmprCCy+8gJ/+9Kd4xzvegY9//OOm/Mcffxznn38+9u7di7e97W04+eSTMTw8jG3btuHiiy/GY489httuu83a13vuuQc33HADli5dig984AP461//iq1bt2Lr1q249tpr8ZWvfAUAUFtbiwsuuABbt27Fiy++iOOPPx5HHnmkCbtz5JFHmjJ3796Nk08+GX19fVi4cCFOOOEEANMg+Ctf+QoefPBBPPTQQx4v85GREZxyyilGk/KBD3wAZWVl2LRpE/74xz/i6KOP9n2Wr6W86QGg9NCU6di0ATcXuS1btmBkZMSkZtq8eTMGBwcxb948zJ8/36SzompEesnqzbKQl15/f78BFPy+v7/fpNICphfblpYW01ZXYFhbv3m/TKvFZPMsKxaLGeYvmZyJz9fWNp32bdmyZZ6QDaFQCMuWLfPYFWmRaiKtQiKopjqYjIFUMdvs+Ngn22JPdRLHf2hoyKq21OVodZZ2ECBoqq2t9Yw/ACcrtmXLlrzDhIwBmMvlrPZZHEs/1pNzLBKJeGzwdAgbPT+knWuxDg3S8agQOzYb1s3lnEA2mt6irgMPQQKBokst7rJ9c0khpw0tMj4f543LbKHYNuh5aVPLAsDLL7+M0047zXwvD4/sh2TyZ+sVP1vRLKN0wtLlyfVYa14kS8r5LN8VyfD7BeWW84lSV1eHwcFBw4LZUoXpwMkEUeXl5aiurkYmkyloeiOZqJdffhn333+/YfZOOumkPJUwwV8qlTJ1BoNBj+qTYFDWvT9OBC4A/IUvfAF33HGH2SeZ+ePhhx/Geeedh89+9rNYu3ateab33HMPvvrVr6K2tha33XYbPvShD3nKfPLJJ3HYYYeZfuzYsQOf/vSnkcvlcNNNN+Gyyy7D5OSk6ev//u//IpvNIpPJGPB8wQUXYHh4GLfccgs++clPmggevb29OP3003H77bdj3bp1Hu9ZXvPTn/4U11xzDa6++moA00DswQcfxEc/+lF8/etfx/ve9z4sXboU1dXVuOGGG/CZz3wGL774Ii688EJTngTLAwMDOOOMM9DX14dvfvOb+MY3voHJyUlUVVVhz549OPfcc/HII4/gmmuuwde+9jUzj77zne+go6MDRx99NO6//34cfvjhGB8fRzqdxllnnYX77rtvn57jgZA3PQB0nWblgioXKW7ebW3TaYxOO+00j1pk2bJlebY9rsXVVrcEZrFYDMuWLTNsH2NgMQiuZGzYhqGhIUSjUY8qlWpJqmNtbIO06dOsD232Vq9e7bGHkiwQN2eKn+edZjLkd2QE5aYkGTKOjY218dtk5ffcNFxMki2EjC5HslGyrzoPsi4jl8vlqb9kX3Ugbpv4qQwZKJnPGZiJfShTp+lNX4Jd25yMx+MGeKXTaeN97UoPZ5NC4WxcNl1kuZYsWYKenh6n16nNwWloaMjXRq7YttJpww8sEViEw2FkMhmrqYQfwJGinSiAfPW3bd1KJBImpJNumx9zp71+bapgwJ0Gzk99zXpd4EyLfKdczieBQACJRALV1dUIhULGJMblEW1zcCFTDEw71sgwL7TFko4OZONovzc2NobKykqjpp2cnJxVLtdkMonx8XEcfvjhiMfj2LNnDyKRiAGEMpZgNps1YJCgw8+pQduzUWz2blq05zK/O/nkk/Oum5qawumnn44zzzwTmzZtwlNPPYVTTjkFU1NT+Pa3vw0A+P73v58H/iYmJnDccceZvysqKvC9730Pk5OTuOqqq/CpT30KgUDAA5iPPvpoDzO5YcMGDA4O4ktf+hI+/vGPe8K3LVq0CD//+c+xevVqXH/99VYAuHLlSqxfv960YWpqCh/84AfxkY98BHfeeSduuukm3HzzzXlOLLJNkg2+/fbb0dPTg7POOgvr169HOp1GNpvF2NgYQqEQbrnlFrS2tuLGG2/Et771LUxNTSGXy+GXv/wlAOCGG27AkiVLMDo6iurqaoTDYWzYsAErVqwoGH/1tZI3PQB0ibabk9/bWK198Ya0bSRcICORGY9LXQfBXTAYRF1dnWdDrKurQ2trq1FfyUj4shwXSyMZiWg0ipaWFrNRSTZFGm6nUjPJ2RkORY6V34Kv21FdXW3u92PmZmvPpTcoV7gebXvkEpdKOhgMYt68eQC88c5YhyuYt5wjkiHhZw0YBgYG0Nra6tnI6BTA+6XpAsEfg2rrOe03lpFIxMNi6wOOTQ1sA78udSMAEwNOhgmyPRtu2K526vJdfSsEWAAv+KDThk1kX3lYA2Bs1dLpdB77KNnJQiyqTe2vx5eHPvaJh765c+cCKM4ZrZAq2HWf634txbxXsp1+zic8gK9bty5vLhbLUpIpBoCxsTFPWBSpqs1kMgb4ATPOCKFQyLBvxThzaJk/fz6CwSDi8TiCwSAaGho8v1PVC+TbF8q8w1RfM5yLzWuYMltWUF+fSCSwefNm7Ny5E4ODgybo83PPPQcAeO6553DKKadgz5496OzsREVFBT7ykY8A8LKSWs0cDAbxyCOPAAA+9alPFdXOBx54AADw4Q9/2Pr7ypUrUVtbix07dniAOcHUueeea+oHZthWAsAnnnjC46ErQ9pQ5Fg//PDDAIDzzjvPZIEZHBxEIBBAVVUVjjjiCLS2tuLZZ59FNBrF4sWLsX37dhMo/73vfW/euC9fvhzLly/H//zP/xQcj9dCDikAqEGfVhtoA+49e/YYlV93dzfq6+vz8tu6ApS66paLHh1AmBpLbgQEQeFwuGBoi2L7rRdzJrsn0ydTQ9EGSaYSs7FBfos+x1e2f8GCBXkqUAmE2DZeXyibA0UC23Q67SnT1tZCQF0bxvtteJqd0M9Hbp42j1lpPuACXa5MG9JRgJtdsSpa1yHI7zrZdz+mTNdP8wK2GZh+trZ3TnuL+ol8j7XNn43p1PNR23uyTtk3W1/HxsaQSEynNqypqTERAuS92o7SNoc4d9gGCRr1GMhA6dI2zjb2+2qHxzLkujibg5hfvWSa5cGF99gOkjxMaaDIAxDBkR/AZntkOB3A6wksnS9keBQd5sMW3NlP5s+fj/POO8+MYVlZmWEeyQ7J8mnzxxApDLRMVlAGrwa8oVW084j8vdiMEzfffDOuvPLKPNt3KcPDwygrK8MLL7wAAFi4cCEqKyuNB6wtNA0w/exHRkZQXl6Ov//7v7eqsHXsvBdffBGAPUWhFvlOkAE86qijACAv0PXixYsBAC+99JKHaZWxEimyjWyPC5BKeemll7B48WJzT0tLi7Wf/K0EAF8H8VMp6g1j9erVJoBpPB43QY7j8TiWLFkyq7AX0kZGqy/IvFC9JcPUMECtbFt7e7vHiWHRokWeOih+NnCUBQsWeDYpqaJmnVxUteMExW/B16rWnp4eY3MITKu8ZGBnGyOgbSwL2QYC8ASPpsxWTSXLk+o7m4qPakiZMswlswnfQ5FsoYs1IWi3eUC7nr8+BAFeRwJ53WyETjg8KDGlYnV1tQf8M1OHVNU1NDR4GFI/8Co9geU8szGz8nvJQEvGWarepUh7SGkGQdvc9vZ2E3Rdt1GLbpOOhedyvuFBrLm5GbFYDMD0AUM7RnD9cG2aNlUw2yrHj+NTyOFDvw+2ZyfXprq6OsRiMeRyOU/oJdtBkutCocOYH8DmfX/7298AzIREmZiYQDAYNGyfjf2h9ybDgsgQKkBxwGrevHlGY0DmMZPJmKDO/KczdAAzIVNsWSSYJm1iYsK0PZfLGRtCgs1i5emnn8YVV1yB8vJyXHPNNTjrrLOwcOFCBINBVFdX46tf/SquvfZaw65p5z86tJClpMfs5OQkKisrTXvl2AJegKX/5jXnnHOOiTnoEsZIdIkMHs1yAoGACSw9Z84cX0JFMsannnoq5s6da8aAgDMQCJjnyQMOWWWpvj4Y4v9RDikAOFuRm0pnZ6evzV8ikXBOIJf6RKpgeE0wGMSOHTuwfPlyNDc3I5vNWm2TuEmRgdR1aCcFG/sh88DKuIZ+G5f+rVhwwPaxTgB5YSpcTgmF6pAAgG2Uz0tf6xdEuVB9rKOjo8OwNlTLaqbJJrbNk9LX12c2cG0/xr7YNkNu6jYPSRdTR8ZK/y7no218imFRpcMJU4E1NjYaFkZmJWFdMiZjsd64hVSY7JsGzzbGT14v2UH2B5hW/zJMTn19vXlGLscWCc5s75keR6qU9fe0DSYwlAdQzrVi7R/lOuHnUMY+2d4VPV9sDLarzvb2djQ2Tge5ls/Q5fQk/3fZkBYrjFuXzWZRXl5uwAngzQ3M+HgTExMIBAIGKNJmb1/UwaxDAhuCOx3AWYqLfbSlSaOjSKGAyDb59a9/jVwuh3/6p3/C+vXr88om4wdMA5i3ve1tAKbf10wmY0wRJEhjW6amphCJTGemSqfT+Mtf/oLm5uaCwZAXLVqEF154AVdffTWWLl3qa3tpi60Xi8U8rB4B+0svvQRg2t6/oqLCOJ1QbM9iamoKixYtQnd3Ny699FKcdNJJxjt8cnLSmAvI/oyOjhqHmlgs5nTc4YHujZBDDgAWs4lpw2dpD6YDmlJY5mxUJrZFr7W1Fb29vXmsXDKZRE9PDwKBgGFUWlpaCqoydbw0G9PJ66RIBiKVShXlvMBy/MY3GAx6vPNcqjo6M8gyilV5RyL53sfFiMs20cbaMV4fwWZzc7PZTDo7O51jZds8gek+rl271vzmZz9mK9PFkLhU9H7hg1ziV4/ruS9YsMDEHEwmk1izZo0HGNE2cHR01LB/TPlH1l3WIRk6GYpJew7zM9WE9Arl3LOpbGX7dV/luLe1zaSTDIVCCAQCyOVynlSFrveMgEeXnUwmUVtba+aaft9k25YtW2b+lqYSjPvJnNayLTaR76F8fqlUCrFYzARWL7TG8B4/dps2jAygzsDqgUDA2EQXEnk41fONANtqWrz9AAAgAElEQVTVRsmIpVIpE+NPxsWj0OlDpmqT9oGuTBx+QuZPjvn4+LhhIl3x/mRQYqBwtgvZ39kI36nDDjvMsHcsJxaL4Q9/+AOAmUwekUgEb3/727Fz507ceeeduOKKK0xZOsA0Q4itW7cOmzdvxoYNG/Av//IvvoG2JyYm8L73vQ8vvPACfvvb36KtrQ0jIyPWEDgE0Pr722+/HZdddpnH1nNqagp33XUXAOD44483/ZSOVbbsKABwyimn4JFHHsE999yDM844wxwKysvLreC0rKwMxxxzDGpqavDSSy/hsccew/vf/37PNTt37vS1e36t5ZADgH6bmLyGwoVNUrh+UsgYOxgM5tkoAd4Fjbli6fEpT9l+dkU29aTMctHV1eUJ4cLJTzs7zXxwY3LlBLZJIYYhm816cqzaVK2RiH8GCD1eQD7QlIE99bVDQ0MFPT5ttocyth7b29fX57GZCYfDzvRZs5Fi7Mdc6vdCY8PfCTKLPUTIz1pc75W8trq62gmM+FmqL7u7uz11s0/SIQbwgiWpTiaDDsCox3UQbtbDUEcynA498mUcTQk06Dgi84zbxM/ZwW/s5LWynTYWnsDaFlTeJfKQJMd4aGjIrBn02pcsnE21yzlve6/4LjU3N5vwNE1NTXlM99/+9jeceOKJ1vmm2UCOGdvgp/IG8nMBM71aWVkZqqur89KQSXAi1bAyZ68Wv9AsOkvH+Pi4KYtqU+mRTPWzPPTa2EeZaoz2kGw31crFANWlS5cCAO666y5ceOGFZpxfffVVfO5zn8PevXsBTO9fHKd//ud/xtlnn41vfetbaGtrw3ve8x5P9pHt27dj7ty5OPzwwxEMBvGlL30Jv//973HdddfhyCOPxEUXXWT6BQB/+ctfAAB/93d/h4qKClx11VW466678IMf/ACHH344zj///Lz+P/nkk9i9ezfOPvvsvD5t374dN910E9avX2+ys7S3t+M///M/UVZWhiuvvNJzyKY5FR1eNDP7iU98Aj/+8Y/xq1/9CgsWLMD69evN/KATys6dO9HR0YGLLroIFRUVCIVCuPjii/GTn/wEX/jCF/Dwww//X/bePzau8zobfIayRM6IlEhxLDpkGVG2GSatJQuQ5RhJmkRyu01rN1ukdXdboGgKtB/a7qL9J+2ifxRtsW3QFAGar+kWX9sPX1tkt9jWKdAYcpP+CGkndSubcSCRblp6bJMKM0Qoz5AUh5yRZImzf/B7Xj73zHnvvZTtyGt9BzBMzdy5933f+/445znPOQd33nkngO1CE0yLc6vktlMAdyPl8nZS4YmJieBSVEXIyzdFBSxmeVPRst/phkY3mN1INR8fgI5gCg9Z0PJl8/PzgXuj9yUXi79TLqBFWbJ4hSoWYbAcwKmpqUQ5tY2NjUSb0sTrq+fK1L/1gOS/V1dXsba21jGuzWYTDz30UBg3L7feqVOnMDU1haGhoQ4FguR+z3XvjZ091POQ+GP3iSkUlUolKEeDg4PB9XDixAkXaaPY+RqjCajoPai4aEWb2O8tiuShsl5AjCoGVCwARNFQDTxQRcILtAF25mMeQrqVPAFFQFJZzkoFE+OBal9jyry6tq3yT7evKpLK67O8af6f3OjYnsf7s7oHMxdov2ZmZkL7dI/1kn7zfp7nxTMa1GVKxUiVCVu71X5O5TFNmVJeW1aevq2tLVy7di3wAe+4444Onl8e8cq/7SZVDeVnfuZn8JnPfAZf//rX8d3f/d34wAc+gHa7ja985SvYt28ffvqnfxp/8Rd/AWBHOf7hH/5h/NZv/RZ+4zd+A4888gi+53u+J6Q1m5ubw0svvYQvfOELGBkZwfXr13H//ffjs5/9LH7pl34Jv/iLv4hPf/rTeOCBB3D16lW8/PLLeOGFF/Anf/InIWBidHQUf/3Xfx1yEP72b/827rvvvkAnefnll7G0tISPfexj+NEf/dEwflSofv7nfx6f+MQn8Gd/9meYmJhAtVrFv/7rvwLYTmB94sSJ0P/XXnsNP/ADP4BPfvKT+MM//EN84xvfwMjICLq6uvCzP/uzuP/++1Eul/F3f/d3ePTRR/F7v/d7+NM//VPcd999GBkZwfLycjjfHnzwQfzET/wEgO058au/+qt46qmncOHCBdx777340Ic+hDvuuANPP/00+vv78dGPfvSW5QK8rRXANASFGwgVA9a0VVGljQcrLeeYOzFLGMXK39oNm7K+vt6hyKmLjIoII43r9XpwY3j3s6gOD0MNwIjxCmOiSB85fqz5C+yQ6CntdjsalKASc8GntcUirh5XT9E2KvoM8vCkUqmg3W6HPiwvL4e0FWlpgLJcw8ofU/pBHsU77XubPohz1bqCs8Yy6zmqKORB3PV3mtAb2FFay+Uy2u12QKSocA8O7iQbppGxvLycSI7NCj0a4KLKA/tshe+BypAaXKurq8GY0/rJ3juKjZWnaNuIfU9U8bI1sVnzXPtpf5v1PhQttVHrOk5WObN5DFU4HxqNRkBaPLHvoVwuJxTRrNyeVoEEtvdKrZyS5h61ChWVRFvDNiZ0Rabx26iMUkmjS5q/p+zbtw/NZjPhrn6zZGBgAF/72tfw67/+6/jHf/xHPPnkkzh8+DA++tGP4pOf/CT+6I/+CMD2Hq2u8V/7tV/DmTNn8Ad/8Af453/+Z/zN3/wNDh48iKNHj+I3f/M38d73vje0+8CBA/iFX/gFfOADH8CnP/1pTE1N4W//9m+xf/9+vPOd78Sv/Mqv4EMf+lCCf3jmzBl87Wtfwx//8R/ji1/8Is6dO4fXXnsNQ0NDuOeee/BzP/dz+PEf//HgxlcF/gd/8Afx/d///fjMZz6Df/iHf8D169fxvve9D7/8y78cUtdoJPUDDzyAz33uc/j93/99nDt3LgASH/zgB3HfffcB2KZfPP/88/jsZz+LJ598EhcuXMCzzz4bvFY/9VM/FYJWeP/h4WH80z/9Ez71qU/h85//PP7+7/8ed955J37sx34Mv/M7v4NPfOITb9p7zZLCrYIfH3jggfbXvva1W/LsLGE1B3JhisUi1tbW0N/fj1KpFBAG3eiIcngVIhQppHLH+2iSXB42zWYzHMr2GWpJWzRienq6o/QUK5uw4giTnHZ3d+PgwYMhYpbJf2OuV6J/1j3l9VW5RFQytd08rOhSI3dreXkZrVYLg4ODCRTHHigx/lladQDvWnsf1o7kgca2FQqFBD/Popm8fmlpCadPn0512+Yl67PtXp7H3YgNbKnVapidnUWtVsPx48cTFVjsPLMcq+Xl5RA5Tom5B2PRmnn7bhUvzhVF9rz3q+uQbbPome0X3UB27eg9bV9tMFferADkHnq/y0IHvTWgv9FygCoxwyHP87ineAqyKmV2f+AaUU7jyMhIWCOUp59+GpcuXcLVq1cDIlYsFnHw4EEMDAyEfYDBRNbAppAGQKNpY2MjIEH1eh333nsv7rnnHjfVh00BQ1EkbXNz0w3+sIih1vf13LWavFnRRSLM3d3dHele8gadaGLrPG7fPNdZNPFmUEpWOUkbD/s8jo8Gv2gUNt33/BxAcKl/+MMfxtNPP42zZ8/ikUce6bh37L1Syde5wP2B/EP7rq9fv46+vj53HMn7VK4plfk3IhL43//93/Ge97wn17WFQuH5drv9gP38tkYAYwgWQ9Z5iPAQ4gYTs0KJ1tj7qtXNBK56qOuhNDIyknDT7QbpajQaoUYprxkeHg6H5dTUVKIUnB4iwPZkZ9Qxv9cSdVnBCNpXopA2yIT1UdkXPVwajQZKpVI47LMiatO4brGxSkNWent7Q9vOnTuHtbU1DA8PB4J/oVAIBHyP8P5d3/Vd4fn1+k41E6sU5yHV50Hh8ggVIEWN2u02Tpw4ga2trcT7UeRNeaB0gXtKB39bLpeD25ti+5k3Nx3bSu6dothjY2PBgPAiqonSxVBbnZ80yhjQo65OO7eUCvF6xFIb8kZWx+aCpsNhP2JubCtpQVUcI/7tGQdUtmJBaRQqbxxDpZKQ81ev1/HMM8/g+77v+zp4jAy2UY+Hel7ILZyZmQnt2NzcxPj4eEhi39PTk1izVrGJReEqQuSlf9HEx0x4TIVEEzdbVJBIIzl/VPxsGbrdoH62TVkSQymtUqv9poJkldm0Z+7ZsycRZW3b6z2PypIissyJCCChJFKp4m81pY8it/oO+X8bPaz5Fl977bVQ/cVGYbN9/I3Ht7TVRNL4o7dKcimAhULhIwD+M4A9AP5ru93+XfP9QQD/N4B3/vd7frrdbv/ZG9zWN1ws14QWq+aRazabCZ5RLKqS31meTJ6oYOWrMPCD/9bvFZWxpacodNXafG7lcrnDjb2+vp6oBwwgoHEAOgj62gY+M3Zg2XHimNioS/27Xq8HC7/RaCTcOVkHZRp5XsUGvOh9Dhw4ENrDnI9EU4hyrK6uhkotxWIx8OhGR0cxMDCQeK66xNjOs2fPphLW2Ve68bJqumbNr1jqDK3IAaS7BmNRahphTgUkDRXbjUJbLpcT5QtPnToV3p3lmnkGVLmcTGHiccc0ktsz7HQ8FHmyaWTyRqcDflJjtisLxY6tAfYzr4LNe62traVewzGyYueKpnNSBNB6DGxmA1XmyuVyIniH1zCQje1RXq26hzUlU7VaxdraWkDwW61WIipVAxX0ULcKm5ZJU+XDCg91VU7y8vD27t0b3MEMVNDffacUBqvEqQvT64cqj54iqWOrCbU99MvjMWobeD+NiGalFGAbIVXll+tR3ez8Dth5z8D22rWR1USige060ET6SqVS4n6aoFv7pGOpaX/easofkEMBLBQKewD8XwC+H8C3AEwXCoUn2u32N+Sy/w3AN9rt9g8XCoU7AcwVCoX/p91u+/HUt1hih6aWeaIQHrYKld5LI29ViVOF0bqAz549i6GhoUTKCLbJ8m70GTZSEUBwd9Tr27Unq9VqItceZWJiIiQlBXbI6YrC6QEeQ0FiSpe2lSke9JCK8fvYd02kbMcvL5eMSkKsuoMNeLFoBt1ojPrWPrNeMl14jz/+OI4dO5YYY22jRoYShfPquFIUQaMRwiTTem+VLLI/x2Fqagq1Wg2FQgGHDh3C5OQkms1m4MfFpFarJVKBEBXWuaHomBeQcLOixkGtVguWfQzV1bXHRKyeYkV0mu7FNMTdPkO/z+v2TePxxtIwUWzQRcwFbfuYpQzW6zuVWbyoW0/RVb6l9oFt43uyv/Xmgjdv7777brftfX19oa02CprvjIog3+Xw8HAY65WVlaBo2aoPqujYRMxMHmwDQTwlxrorKWloGu9h3dGUvAjbbiTWniyFTkWVGl7vXeMpdVlt0xQsdqyo6PF+TMMSaysROjt+ivLx3/yM75CoYqvVCi5g7YMitLYCCvtgx+hm0ge92ZIHAXwQwEvtdvsVACgUCv8vgP8ZgCqAbQB9he1TsxfACoDrb3BbX5couhKLKuOBrcloVUnxFEduyl5iYCoVmudKrX97KOnzvGfw99bFo0EDfX19CQ6bttke9HqwWMTOi0LMygNokZjp6Wm02+3EQZuWooKKqPZHxyztgKYrbHFxMYEEZKXEsO55RZ2oxG5ubmJ+fh6tVqvDxaXpZnQM7AG4vLwMYBs1TOsP36nOQevGzYsq6zXkXRFRsbxCvSfHkog4XWlMDzIxMRHyuAGIpmNJkzx9YD+AHaQsT7L1WOCCnZ9sc1a+vDSXcN6gjZjipm18PUhi3vZYVznng743HaPdpJXp6urqmHc2HVCaYnry5EkXGQS216bNwqD91PuST8w+0l3IpMQAgiKhSo91t2oKGI8jaEUPdkUPsxQhVQQ95SDNVXsztX+99thKHbYffB7HT3MFbm1tdaCnti5wlljUzBsr3leVRKKCOnZPPfVUx/Ptu9GSf8pNtChszGDXd6bt0ZyEXjDRW03yKIAjABbl398C8F5zzR8CeALAEoA+AP9Lu93uyONRKBT+E4D/BOzU4/tOiUYlahoJz6Wp9UitWzO2CSr/hhwXfq4Hvq2DSeFhmyeQwX5PYbCKRgBnKV28v92YvWvtZ95v9KCz6R7UtQN0jmcW0hF7rv5W3611JVH4t6ad8fpQrVZx7NixjqCBRqMRarV6bimOp5LgyYFqtVoJl50qWhcvXkxEcyrappLFtctSVjyxSBM/41hyfvN5tmShlvXS/+d5XppYhXpxcTGRVsSK10eLNAM7gV4AoiXMKLZP1hiiUmIDbrLEtpUIZx5eoPJomd+T/9Y6wirKe+S1wPZcW11dTcxftiGW31B5h5S1tbWoUqr3jBl2aXud1gX2hL/je9HgqampqXAdc7YBOwmL+f89e/aEcm0AQpJfIk1W4YqhaYDv7stShHarzGUhdXl+r1w4zSHo9cVTajTQwaKnu2mbKk1eVQ+Vra0tNJtNbG1toaurK3gy1OWbpjB7iCv7sbW1lUCKY/l/PfoAczGqW1nvH3MT30rJowB6I2BDh38AwHkAZwDcA+AfC4XCV9vtdmK1ttvtPwHwJ8B2FPDum3vzQveePcQGBwcTUXSnTp3q2EBjG5PdqLXguMeFouuJGf+VQ6Tu5zSl07qieUhT6Th37lxC6crK26eKcRpqo2TzrDHhIdPX1xdcqoxsVsTBk92gQvaZ9t0y3UQaAqPv0PLtvGoiWbwxbaN+z+eylrMiGbxuZmYGZ86cCf2xXFAPPY5x7bS/o6OjCd4jkcws968ViwprkA+/9yQv2qfXci5qDVyrUHjizU/v2na7HagGae8x1nbvM7Y1ra92jGIKU1aEsfaNbk8PWbS/4e+efPJJADtIqFWslZtoJeZF2djYSCTxth4Dbx3aQClv7MiHnZubCznm2LaYsq5rd3h4OBzsWqtWXbY8jBWpWVlZCWiQF/TgoWm7CY5QodKTFhgB5Ks/nFe0qgbLyPFZfE6s8giVRxv4ogEvNyseGgvsjGd/fz+AHWPA46kSKeQ73tzcDO9IFVxFalutVoLPyXsQOba/yStsg3VD//9FAfwWAE3c9F3YRvpUfgbA77a34+5fKhQK8wDeDeC5N6SVNylWQaOSRe6NtTxpGdv8eGmJSC3ipQiXlXK5jOHh4aAAECXSWoBZLqm0Q61cLmNoaKiDB5cXBUxDZawbMhbowvvQnWutfxK287p3reIZa5uiVV4S7bTfpqGN+n2lUkl8Pz8/33E/60q1YpVKGgUUKq+FQiHx7Biq7CEiVolSJW9ubg733ntvQKotMmrvR67g0NBQqFVLl/7S0lJQJNOUqDyBPAASc5D345zRAIEYWqeovXUV6vf6HlTZSWu73sNzCc/NzYUyZ97zPI9CuVwO+QRtgvIs0XsXi8XUaiPeOmg2mxgbG+tAy1XSxpfX67xst9uJeZmHI6nvOyYarZ63VjSVBPbj1VdfBbDj/uOhbrlc/NsLVKCkHd5pXLo0xcEqojFXrQaz8LtYm/Nw77x75QlaIL9ua2sLW1tbKJVKoXoJEVN1EXvtTOMjZgWe8F4xRZNKaE9PT+DnMzWPNy5UwC0H084RL8qXbmNep7kbd+MGvxWSRwGcBjBeKBSOAqgC+F8B/KS55psAHgbw1UKhMARgAsArb2RDb0Z0w2W5Jh42uoGqK8SS3Y8ePepWHsh6LmVwcBCVSiWkMmBb6vU67r777kTELoCQfTzNVRIrU3b06NFEEleiG3Zzt4ErVBBjaWyyxFMc1T2qiBH7yH9n8Qpjh3mWxK5nDVeKl7Yido88PA4vaIX3r9Vq2NjYCO+LyhWwPRZXr16NurhiEba1Wq3jfemhmub29e7Je3FcNMJTkc9qtRoOWd3s00SRZltdJe0dU+HIQut07D1R17lF4POKdffbtd1oNEJNYG0L0zNZ0aAkIMkLppHoyezsbMhzVyqVsLy8HJIs23sCnWu6WCyiv78/GBzk7Go9Zatoz87OJugrRORYs1mVsywOKPtFxTUWtKXX6HPtNVZ0fyyXy/j2t7/dUfNXOWss83bjxg20Wi20Wq3gyqPCkKZMxZS714vkqYKmyCO/S7tPlgKo91Kli2lYYm3WPt1xxx0JtE1To/DvNO6jF5lrEbq0II8sxUpTuWjf9L2rO/n69eu4ceMGms0m7rhjWz26fv16aCMRRKsI6th1d3d38E5JL2B7mc8wq48xeaPyN2cqgO12+3qhUPjfAfw9ttPA/Ld2u/1vhULh5//79/8FwP8J4M8LhcIstl3G/0e73U7fAb5DoryTkZERnDt3LpTu4mFExUTJ7qOjo2g0GuHAYNF63ZAV1dD6u0BycxofHw+bMrkpqsRx8x0eHu7Y1Dyl0yvdpgfo/Px8aiSfoiR6cGv9YCaEVqSDSguQdJfaqFC2S+9dLpcTVUU0wOFmJfbMNC6WRcPyRnICSFQTAHzXA5Cef5Ao8dzcXMJdRuWG92w0GonE3jFFIEtBVgSqXq8HFM/WvOW78tquY8y5w/xqOhZEg7q6ujAwMJCYNzr/NAKVbWPkeqPRQKVSQavVCvnj8qY50RJmHFf+rlzOTlOj7UlDKnWM1tbWQu5KiiqrlKz60PZ6Suy9ch4B2wblo48+2tFelXq9nkhhVCqVwt8HDx4E0Jn2yY4P3ebADl1mY2MjuI/12WnviuNLqgjHhkmy+VveS9dZoVDItWatQdJut0M+QA1kYKQvsKOQ2CTAVLRiyBvvxf+US2dFkTwqTnw+y8NRkWL6Gabv8pDHNDQyq5ymiq2iQeVNaxZboZKoyogqQhTLifO4cMoh1OTMWYhnLP0M/9va2kK73Q75AW1FlT179gTjTXP7aT+oaFqeI8XmOOS/2T5NV6N92G25PpVr164FBfX1SK47tNvtvwPwd+az/yJ/LwH4n153a95g0Y18bGwskPCPHj2K2dnZsMHYiMCRkRGMj49jbW0tQYIHdg5c/p3lQoy5Va0i0t/fn4mGpYkesqq4WkSAyhEPXa06otw8Tbmh7kQeEixBBeyQ6IGdxME2aADYiRLMc6B7vD5bYzlt7Kenp10XdZqkXcO8ZmmKrlY9YP+ynlur1YK7jBsEXYn6Hi2aqKIKuJcqiMjdxMREAsnWajJEEtUdTd6sVgAhSrSysoJDhw4lFEhNQmzRd1UuGK3uReU2Gg089NBDHS79tPFTVE/ThSh6adH0paWlVP6mzquurq4Eh1LfLxObl8vlRGAM3wUNJvUu8H5sJ+dQf39/LuVTfwdsc9VUYutKSwGePXs2U2kE4sowo9p7e3vR29uLiYnOsnEx8dYt76u/T9tXs9pquYKFQgHNZjOg1gxiyMvryorm9SI+07h0jD7V3ykPz7u3Fc8FatE77k02v6B3r1gfY8ELRMa6uro6EkSrIu25dHkdFViblkX7nhVFbSOI7fX8//r6ekfEL8dq3759oT+qDJPjyHrNmi5Gn2nHke16M4Qp32i4vR55W1cCUeWlWq2GjZIZ4xmMofm41tfXw+bKTURzhsVEXR7KwSKyQXStUCi4CsnQ0FAqBw6Aq3gwkpVtIzITS4qsbrC+vr5QO5TXe4ecx9FJQ1O84AfdnNnmND6ix+tTpS5LFHGJKeF5ghYskqqKrvbTXsfnahsoilTq53feeWdIQ8SSXrEAAHvY8W+lAGQdnJoHzipilUolKH3k+zENjKLHqvSliY1AbTabwd2obWb/YpywGLJqx55I4vj4uKtIpHEnrTA4gs9gZRKr8BUKhYSBMj09nTAuKQMDAx3K8dzcXFDO0hQfT6nW4DO9Jk2ZtOkt7FrQfYfSbDbDO2eOT+s+zhMoFpMshDfrGlUsGeA3Pz8fOLVE2/bv3x+iO4kUKWoD7BzetnJEmqLoHfiK0MWUHCuqmGxtbYVzi4iPJli2bVM37PXr18Pftt15g1Xs7zzEcWtrK1GuzQZxeGNm75OXK+lJ3oAKm9JGlT9V0FWxpsJJeoBNTu0FBvHfXGMsv6pVXnabF7Ddbofo57W1NVy/fh2HDx/O/F2WvK0VQCs9PT3BXcNAhXK5HMjwWmsU2LasqSTRgn/mmWewb98+9Pf3JwI2lG+lShajFzWHGoVu4DT3MZCM9AX8g4HuN5ZT03vppqmK2+TkZODu0P0NIKrEaEBG2kbsfaf3abfb0cNBAwaspLnRurq6ogdeVuqIWBsoqjRYJEvv5f3GPstTloks0u3bbDZD7WavVq8+jxGS+n1WEAE5b8pT89qnSjyDPxRNW15exvLycqL2KlFlDRgpFAqhn1wrNhch78m22Wh3ID0i1459zKVK8Yw5L7CJ97HP8Kpf2Heka80GL+RRjvIm0yYvL6Z8WdoFP1Px/s3fqEJLKRaLQamlq350dNTloto+e4FSaWi5x9v2xK5/O+eY1qVWq4UDX91+FM+tCCSRLv2/Xsdr+G8iRwCCO7JQKKDdbmPPnj0dblrOf/7/tddeS7iNvbbFFAi6Ur2o2iwFMBaJy3GjQtJut9FutxNomKc0WuWXaXfsuFg+ro6nVXyzxsC+J/0/lVYbCU70z0M901K5xN4N5Y1IAdPV1YVisYj9+/djYGBgV9zlmNwWCiD5Z4y4VY5OvV4PJGYgGW1p60eOj48HtMNTBrg5WXSMypTdvIgseGgNNzt1g6aJPtPW0a3VknnwaK0vLS1hZGQkKLeWPG5zJPLgtq7qNGWQQRdaD7Rer+Opp57CsWPHOjZ+SwqnC5LIZkxJ1o2U12o+RC/iNEtsBDijtZWXZw8lT/Gw1yga1mw2g6VINxVpCpubmx3R27wXjYeZmZmQ/oeVZTzlSZ9Nzlaa0eH9lv3muAA7VAZF0icnJ0PiaWDb3WiVXuUPViqV8Dxb7SNNobCiY29RxFqtlhoAZN+PF/AAbKPX5ILa92zbpmOo0d8cPxqXdBPHlH39HZ9ZKBQ6+Li6NjUQyEMEh4eHcwVTqPT396NUKiWyGOgYZKUU8trkvWcr/C4WSKPX8XsvGXhXVxfe8Y534B3veEf4nMGBaZGoj/oAACAASURBVNxQ3Y8szUTPAP6b49zd3Y1arRZAgNHRUaytreHAgQMJI5vpmOz95ubmcOnSpZAayguAmp6ejqbUmpqawgMPPBDtUx4+LLCzHugxo1QqFTz66KOBThC7jxrzfA+tViucB/Su5WmP9SjRSOru7gaQPpc9TxrPCHLeved7hou9Ttulng4+b2xsDF1dXTh58uSuuedvprztFUDLESKhNkYm1olI16jn3tJatcBOgARTZtj8d1RsbHRbTIgiLiws4Pjx41FEj320HEAqqdwU1YpXBZcKBLljTHNhUY+0SWsXnKJ4PNCHhoZCzeFisZhwQdl3RCHnj59RAbPloLQdRC4ajUYiH6J1ids223fJsezr6wtzYGxsLJHnjc+yyNzq6qo7HoCfPghI1knlO/JSXvBeVNbVDWlz0MXQsrSodlqVVDLZvlKpFJS+0dHRRNBDVv45vmu7afN6HiTA6yshx7H3lDzlBPK9Ka9OOYJEMb0DSX8HZLsk+TytGOO9A30GDypr+MVQ5rSgKlINvHkXO6z1gKQBRqnX62Gfs2mBPD5snqCQvJIVSKN9sGNnkWSlwWQlSmfqKq89lntrlWpdw8yDynXLa3TftsJcpuphyitMDu71OxbQF8ut2G63w5gqqg1s7+38rSccn1OnTrkUhpsR3ettPtKYeJ40Zt1Q48X2Q/f7PGOoSdqBZHJy7/63Ut72CqDd9B566KFMFIFSKpXCZmw3fVWueG9axkCyBFK9Xk+Q7XXBk7DPhc5rlpeXAxqQVY7JtkN5WlZUwSUHi/kRNZhD4WUbHJCVVzDWrv3794e8hHr4EgVVxI1WM78vl7cT3mqQQZrL10vinCba1rNnzyYOEKbtYSAR4G+UPOzX1tZ29eyYWNSIz6tUKpiZmUlEy+7duzdwhWJts2OlhxBFkVQvev35559P0BY4Hl1dXUFx1gTghUKho/wd76dpjXRNUAG2gQ9st+2jjk0sypu/U2XcHghqHCmNQpVS8u0UFdc5akUNKc/I4DvQ93Tu3LkEGmH7q6JrkwfSysoKenp6wvpZXl7u4BfaMpE6jnZPU34rKTQcE6LCMZSJxiRRES84aTdu3TyopacscfwpOi/6+/sTQT6K9s7Pz4co13q9junpafT09ODIkSNoNpsdvGZFp/R+tqIP6RTaBw2M4vhsbW2F3+uZkoXYxoKfVOnULAQ3g0jxzEqrVU6x/NBmsxmMC0bh0pjVHI7aFwrH4+jRo6/LYAR8j423r6jo3ImNoZ69nkL9VpG3vQJoRZGYmHCCNZtNTE1NBYUPQCLC9WasWz186vU6jh8/jmq1iq2trQQnsNVqhQ2cqGVMdKJqOg/2hW2k21Klv78/UcIuZkmpUukFJ+TZqOn2i/XHIiN0bXCsqEio4uId3pqkmIjpbg6SUqmUWORHjx4NBxgPP3VdqKJQLpc70GF9nlaZITJDYTs1ITnnIiNx+R0jG6vVKvbt24fe3l4cOnQoBB1xPHVsLfqT1/Wncvny5VCzlfPX3oPpa1RpYN/X19dRr9exsrKCJ554IkQnUjFYWVnpmF9ZqFXMNezlj+PcsRs/jS5bJq2vry/hOtaUF5YGkiX6DiYnJ4O73h44nH9pB7NSGXRtWiPUujj5HG/c7L9VSVTjA9hB+Lg29SC2/EP7/tRdluau0z0tDw1GJU0Zt/1MSw3FCGfNI8u5sbCwEJA/lvi0+4p6K3RP3tjYCNQWVYyV8qP91n1Gy4nGKqPk9d5QPDcnDTMi+PV6HVevXsXS0hKOHTvWYVTY+9myg1/60pfQ39+PoaGhRICZBpN5Yg2owcHt3LoMfisWiyH3pgZh1Wq1kGhd3y/HKhbgSPH2lSwaisrg4CAuXrwYEPNSqRRQQHU530q5rRTAvIqaRQ1s+hHLx7AuWHX3WmuUC4OiLljmUDt16lRwYU5OTmamh9FJqe2MLXy2s1AoYHFxMVieMRcL+6BcGLXCuEDTnjs4OIhDhw4FxePcuXNu23SsuOh5WFQqFayvr7vVICyHRPOk6f1i7bNuIX2XRIn4mZcvjUiMIk3sj7ZTFRI7h7TsGbCTlsdzFfL/m5ubIZAnFjUcEzuf2V+bEHhubid63V7vSaPRSMwHz5Wth5tGy/J6jp22MyYxFMByFkdGRtDX14dz586hVCp1uL7oHeBnGqRC0Yj5mMs7r7FhOV224pBFaK1iRbHjQ4NBK+7YgLWYQqXP2NjYSNA5uE95rmfL8/KMTSuxw5TjxznEcUqrAnIzSCG/3020smd0cixp4PKZdEV7v1F+KQMEdT5YT5Lds2LBRZ5468ManopoK5pOJcUzJIDsUok0Avk8L6F7bB3Z+yu/l3z8WLv0et17rWcuBpTkEc941zlYr29nGjly5EgYB29PuZVyWymAadYuJ5ouBB6qCwsLiRQYHmRs3Sax5+iGtrGxETYCdYFqUlUly++2j1ZsWgyrNKS5TRU5Zfst/41jqBtOpVIJCWeBbfdqqVTC5cuXM58DJF1otBqBzijb18uriCmwerB57gLN4wYguGU1bVAsQbHdmDWlysTEREDLLD9tcHAwuCIZlceglzwbmDVILDJF0jk3za6uLrTbbczMzARUHADuvvvuMHYqTBFCYfCOvlPSDqrVKq5duxZy42leynq9HtAGq1DoZmtRELZJlSVFlu04e4cY14IljrOOMhCvIJI2l/jbPNwzW4jeU5gUueFcVNSoUCgkSlQyEI7PnJ2dRU9PT1hbSu9QtNMqq16fKR4Crf30OMx2b/Yka39KG/O0/JiWo+spk4xQVUNNkWsiPCpq/LOP1lDV+To/P59YNwokWIDByy+5G+XFO5PSjLqYpCFies7QW8Df6N6XtnerAcLf0EDlfa3iHbuH3W/VXe+tUcDP8xrz/KWBIF7Z0LeC3FYKYJroROaL5OZgyf9Avkz3lNgCbbfbCaVCDypa2mncH8snss+wbZybm0tU96jXtxPyWiIrk9Ja6FwTRfO5sTGk0IqkckvLTVNKaJ88hCNNVIFhv6w7xpJ8uZHneYbdKG2Ah5f3zSMl8zBQF0/MrePdmxsKk2nTNUV56KGHOtqbp0+xDdxDAmq1Gp544gmMjY0lUErOM/ZN+7G+vu7ybpeWlgL6feDAgYBEk1CuCIcaAdqHGMLo5YtkGz13oh0Duof4HXmLQGc96N2IIhmWTlAoFBKpl7jOst6njk3MCAV29osDBw4E2gkAHDlyJMFj6uvrC21S9LDZbHbsRXkVcl3THvKi+woNb92XVBHeDVrHZ9o1FDPweL3+n9eqoUCFQSkAMU+NvnMPFVUl0a53+w6976anpzPnYxraS2WM7lT1Rum7Gx0dxcDAQOpzYsIMHADccU97nzzbCF7ws76+Ppw6dSrQTXifSqWCtbW1jihczZnLz7LAHI8StRsail0TNIxvhnrzZsltpQDGFLOurq5EkAOVoI2NjeD6WF5exszMDIrFYjik1LVHsdw0RRnsxkfLxUtPYUmzVixq43GR7G9brVZiDFhtwsLyVBS1PTrpbaJs9ptjHMuxphULvBQkau3pe9KIanJG1MWu46F9jrkYSPjms2LKgieqFOtv6UI/cOBAAj3SfjCKVonz7EOtVgtKq0fQ1+fzWexXFpKUJZ77W7ly3jVU3khmp9gDNpa8+/Tp06H9ikITYdF3poEmnJdpRpalMvCwmZubw8WLF3Hs2LHEOHuibda8njbH5m7QVt5Xf6PKF4CgWHA97Na1afvjIaJzc3MJl7vytRgUBiDkbxwcHMTQ0FAH7SKvQh7rv91X2E8aUdyXYnSRmORZBxrYwnRTVumxY2kPed3n+vr63L3Lov32rLDAw24lS7mz7bAKOYUermq16o6Dnge7mZOKrulv0vqqKCv712q1AuXI9p97abm8nR2BgUuketC4iJ2psfmSN+rcE7tGqtVqIjXWW0VuKwXQbj5cgFtbWy7vCkhOdo9L4D0j7dnKRxofH4/e+42yEqwLVlN5cIF5C5RCbhuFKMLg4GBQEur1nSg/y2nk4uI9iHqoSz02VkAnz8ZGRPNQim3aWRKjAnjiHQgUukcpnF+qhNrIaesGYd8UCdDv9V3ofN0todjjqgDbChajz7XqCYnU3IAbjQYGBwejvKUsYT43i4gCOyjrt771rVDyiGPTbDZDFQ2dIyTaxzg9bGO5XE4okxr1rterwgcgEZFv88tlSWwueXQCIKmsAp1c0pgxqddYt6MVnXccA9Y/5wEKIBDrGViS1u+bUVR1X+E8YB+4VgB0VC3JkrQxj7XJC0KwY2mrOqmhdvTo0Q46hQ1MU8AhFpjA33pIofddTHlJU7S96zgnPD6dzb+YdW9F6/Q3eYX7+uDgYIKSwPOFXFZgZ1+03qhyuRx4vtxXabhyn1Y6gAfmeJSDGOrteeFulpf6nZTbSgG04k1kG6WpMLFVNPK8RDthgJ1FlhZ1m3VvD7XRoAy2b2BgIGw23FiB7XJUdoPTSayTVaMM7UHL/zOamPfXg4p9BpL1lvMsErVGVYnSNmjkKxHNpaWlRKTu1NQUNjc3w3OYhNS6tjxk0KIFatWr61aDMewmoKXkOO7WzZ7nXWupNrp98yh/nHtWebIbuOcm0+94oLF/8/PziYPOHoweQmEta3uI2fQzyt/z1sWBAwc6XPMqtlQaN36d15avwzmmUcw3w5GKCRVdy/kCEBLTxxCy2PvTd8x+eG6pWKAYn0nZbSol3ocKedoeVi6Xg+GivEz2s6urKxirNo3QzR6e+jui3EQb0+6tSHWsqpOiUDG+Xywgz0ZoW3TV64e+6926xdPEUyh3i4TNzc25Ci7pKyp52s6MHAACv5qgA7BtoLVarUQdcPJfbWlMm7bFjj8zcQC+l8q2lb/1vHDWSL1Z6sibKbetApjHTWB5G9YaB7IVNV2s+nsgWYu1XC4nKiLo57H72k1cD0jLmyqXd/Lo2fvE7qft8J7LSU1UE0DHhqoHqW6gzPWUZU1aN4luInpfy6FTuH1uLhkVfPbs2dBW3keVYR0/20Y+R9MCMRlu7CAhojs/P5/YJPQar8KKN+Y0GqrV6q42fZ2vGjhA2c0hov3zag97CJVHpKaCnvZcproB0rmuikQqMl2v17G5uRmUfQCJdDocA934tbYyXaIxztjrEUuzsO5gK7E9K2agaAJnio5TpVJxqS+Katk9i89bXV1NtF/Xy4EDBzKrdgBJOsXS0lJoF59Fz4UGV6yurr5uZUdRLzUSVanQNDfADmoXq+qkEuP7UdLWmgUZYsaxrmePf6aS56zz3L550Cvv3jaNlhrwKnxG7Jn1+jZHfWNjA61WK7hy6aZWKg0jbNUYHR4eRr1e76B62DWs70OrYcWUdgWGYuNu99gDBw68oYr6GyW3rQJoXwQnskUsdsPpiIlFDvgbLSRfLpexuLgY3VSzJO1g4n1slFree8c2NI5VuVxOpJhQRaZWqwVkVTdbJjjNgxTEFG9Vysih0+TEsXszmS2VFosoknNoFX/2p7e3NyQwZUCEptnQZ6oiTiVZhZtCliJEoeKidXx3K2wTlV6lJZDjppum9p/zngqAvh9dE1ap13XUbDYT0dJprrHe3t6AiKVxXbWNHEu2QQ+HhYWFRNJzutB141cFku21XNc3StIOBRtl7F1nkQkNconxFfnMra2tBAqniqG357ENHDcGBXh7qVc5w/ZVI+hrtZ1oXdaVpiwsLCT2l5jkOWAtv4y8XS+nI/cGAAkDVznIQGeici8aP2Zcps0nz/DTe+QdgzQlRe9D6oPXplguRio5q6urCaqRDeDx2uCdi7yfpZYw6E29QPPz8+G91Os7FWrSkpPzWqUD7Oac5e9pQHBt2JRSusfyszxG0XdablsFUEURCw2xVxeI5St5ioZ1wfDePOwGBwfRbDYTwSTcMNIKO2fx0lS58krTcIM9fPhwrvGgUpC1kWjwClETW9mAk95Dimz/YvwKIIki2bba5L5UQPVQAZKbEt2CmuePitDKygqOHTuW4CVxQxkbGws8OCv9/f2pC9xzqXGjsORmOzb8m8qI557wfmvrUqrbG0gi1Cqq3Ksyx0NoamqqQ1lbXl6OzlXeR9cCXeZeRQjLoYyNjSqftP77+/vd+cP8hJZ+MT4+HlLbAEhUeDh69CiWl5fd+Wrb8nqUcS8QjEpW2toHklwzJrPWyFlNwA0g1I0Gdt6zri0qw0RFY+9Ak6OzHQwkYR+AneAdSxvRvfTq1asu5QBA4CHqbz3Jc5DzUOY+lFY1ifecmJhIUE88V58aUV6e0li7VOGx/dY1wQAGrSG+traG6elp9Pf3BwVNKUxZYte25UGqAZWWqJljpDkDme/OctB1P+bcsf3lOWzfiaU5ads5R7K8ZvbvcnmbxjI1NRU8SDpvrfA8BzrXjkfX0Od5AMCtlttWAUzjRGn5I/tS1aWpCB7/zwWoi7VUKqFUKqFe385aTvfkzMxMSLZaqVRw6NAhfP7zn0e73Ua5XA5RoXncg5y0mh6AcuDAgRARpdC0RQT0nrogOC42IbailYz8swc5lY+YgqJQum2DWr+01nXD2NjYwOXLl7G0tIT+/v5wiJ84ccJ9r2oZAjs8RX2mBj9w06MiWalUEjVxmRz5+PHjUfeJNShiSlts07KHJg/utDmhPCIdQz2cqeiyTzqXvftaJbHdbruuEjun7Ca6tbUV0ioBPuk81ndv/Pg8LyEs5zk3bKI309PTCcOFKU9Y7P7KlSupiqenaFju6G4VQq4lq3Sl3YP70/z8fFBoNJm1F407PT0d+FJK19AUGZTFxcWg3NVqNTz77LOJQKeFhQXs27cvIKiK0KnRoaUR9Z1NTU0FpK+7uztaJaG/v79DOQZ2zwdMeyce6tXV1ZVQXtTA9YzjtBrbSjHw+mARcysW1VYKheUavtESK0mZJjH+N4MPmdDfcqYpsZQ4seerwUphui+KKmU22f3CwkKg9uizvP5o6TpNi8ZrmIh9ZmYGV69eBYDwtxdtfivltlUAszh8nqVpSazM96aKjCo8OoEBdPBHdMPgRqyZwr2DVcVajopIqvIyMzODVqsVrPB6fTtXHhVR70DjAc9nKGIUez77mVZ+R/+fF3q31qdu1r29vRgZGcEzzzyDsbGx1IhY+zxvgRMZtOguEUqLYnppTqzixXeaxpHTZ1mxig43qLS5a7/TiG+2Qy11fhZDEOr1uotScbPT6Ehgp+SdTZujhhP/tsh5rVZLuGCzODkUDyEul3eqBuhBAiAR3arjWq1WU1GZNFHXTwwljN2b46tUDftc792osqXf24Ob+1OxWMTS0hLq9e0cpwCwubnZgYLU6/VQ77VcLuPee+/F4OB2WpZLly6F3y4uLgZUWd3onOtaIUf7Y3m5tkrC4OBgB9cwjbTP762hyv4ToVPXM+dpbF+z2SHYJu89pM2NPNwyK9oOi/hT+O5vVkFWpcV7Rr1ex8bGRvjO5mz0nnnw4MGoUmtrXPMMpJFNUQRVJc+4K8VB9xBde7aaEz1IKtaoU0RUz2WL9NZqtbDXUtGkshtL23Or5LZVAIF8JXJUNJqWrsdabSffEL/z6hJ69+OGT2WjXq8nuCWWoM17KHyti8wiN7qBsL20tmIcHY/PEosG1AmvUU72Pt7veDCk9Y/3UndAtVpNpOqxASjkFnZ1dSXcZ3ThT01NBaSHvzt+/DguXrwY0MRr167h6tWr6O7uxuzsLIaHhxPuCZUs163nKs6y+PMoH7vlovHgUmk2mx1KcKw/wE7kOEVdH5omRlFW259Y+pq5uZ0ISi2JpmkgrFiXGBUcu/b4Wz34Dxw4EDiBjDJUioBdN5Ynqq4sG9gSezeKdHvvn8pfLDqZY8oDm+jl0tISpqensbGxkXAF8jfa/2azGdKqXL16NXCqxsfHUalUQvQ85/zi4iIWFxcTiuD4+Hjg0fL9W2RGq8FYJYqiVBPLT6bYKHm7Z3uKlYeCKUKnyj6v1fbH3g8/Y0J77xnslxXvrFHxEHOvHZzzDPBptVoBlVWaTR6xio23F+k71XEgt9v7XWzv98ZFP9utguy1kc/PA+zQPc3zfGpqCsVisaNwgPVEANuGvRq+yp/U69TwTsuPeavktlIALSfKHhj8TF+4avdLS0sJ5UkPir6+Ply8eBGDg4OJJKsAOpQRCg9URhpal2DsIIiJ/T0Pd96f5cLsgadpZIBkIEyz2UShUAjj5EHYMTIv0JkUNksZsAqJp+Rygav1f/To0YSCa98j+6VQvyKy9XodJ0+exNzcHGZmZvDYY4+5485DKw2R4TPL5XKCi5VXadODiAc4oxPVDarXWqXRvif20SrUzIs1MTHRcXjYe1qliPOEQQTkn3G+afSu5ngj0hhDavUdprmIPZeYV2uT11jl9NSpU+GzqampgIhzzL05pH3QcWJ+Mo6p7XcaEsODiBHmSjHwDmSrKNfr9XDQ8FmK7qqcOnUKk5OTqNfrOH36dOL9lkqlkKCbihLXm5anXF9fx8GDB90xprB8H3/jKQiauYAKpkqaEQnkC3zzjCkqzFZxT/MexHjRtj06J/XZmrjd45axvVlpoXhvctBVEd+t5PXA0NigxGhJ7L9VdnXf071Lr0trS542ahsqlUrgGtOQr1Qq2L9/P3p7e8NZb6tUEeHVRPRq1GmaI4sg2jRG1tsF7D6t0ndCbhsF0FMmgKTLVa0aksS5iOfn5/Hiiy9ic3MTpVIJS0tLmJ+fR29vb6JETU9PT8emvbW1FXUHqWvPZgrfzcT3lAt7WBCpAZAgb9scRXqglUoltNttNJtNXLx4EUeOHEmgK2mbMNA56e07YLsVXVXFUp9jEUNu2jykACQWofe8YrGI9fX1RD1Ulg/igU1kRFNTaPs1gMA7FDS9RrvdTnUfZqFFfKZ1PVux/YwpHlY5p2vC5oDz7qnPZcmwRqPRESFIJMJTlvQw9riS7DeVoLGxsdTx4z043mnuL2898TONOtXPeaBlEbwt/0vntufuJ8pg04vU6/VwEGn/PBcdn+mld/KEKAURI1IeuKexfRoBnjYH0tZ+zFUXU+q8ShM2rQ2pLd73ttSXUjjUU8AxUwI/17KnfPE9rK6u4vz58+HfHl/RKjFphvBuRef+bu/rJWbOeobNh0fR8WIbyLXj+KaVAuTfsajmWq2WGhAZE91L2FcGvLHONY1W617mv2lMMU0ZObA2qMdL6WKDVur1OmZnZxOGUJp35VbJbaMAWovQOzB0AXtcvtnZ2TC5JiYm0G63EzyiSqUSSPp520OxipIu2jzWp/edchP7+voSZbSUo+Pda2xsrIMj1dvb21HyiJswF71H5s0ah7SDQdvkIaJUrslRI+eCUqlUUCgU0G63Q/QpeVCtVgvFYrEjmOU973kPJiYmOhIIe25dq6TqmPD7tLquWUr+bl29KmmuiytXrgQFQANpslArdUGVSqWQ0gVAwm27srKCI0eOdHBeOJdZwkmVC843AMEFmeXS4j1ouSsNwbbbuq91vtqIf45budyZzDqvIs+2ewoU+2nnXrFYdI0OXq/9Yx+YKJlK0PDwcEd6nfHx8cDlGhoawsWLFxO5EekaJike2FZusqIqswxAjg3nzcLCQlh7zIZgqwYx+l7TK1HI29OSixwTKi12/bGtVkm3/EQvfRT/b5OTe+iqlTQqh+6h6s5nH+0ajCnUdo/yrtP0YlltoljXOsGQSqXSweckms/xzVMvm1HNWZSjvEFVMUPFi2D21hcNMeUq8t+e0a17qzWAqSTbXK27AXS+U3LbKICU2IEBJA9KTkK6Z5rNJl577TVMT0/j2rVrWFpaQl9fH6ampjA/Px+iKZeXlzE5OYmDBw+it7c33C+LmGsVJV20PABiEyi2OFQ50ftTIeTf3uHFRM2MmmTE38LCQnDz8ZrYhqv/99rJKDvdAKlQMDLV2zR1o6QyxkOOz1BrTA/NmZmZROAD0R1d5Py/Vg6x3DTd/CicW0zLo/mq0krf6TOssqaRaorOpClngJ+miBs5r/3Sl76E4eFhDA8Ph8PWK0PHe2gfdQwsukDysx7q2j9u8qqgkJpgi9IzH2PW5kkjgJKGxuiBRss+RrL3/u3NaX6mrp+YUROLLgSAK1euuIaU119+T6Sa97JKzszMDLa2tgLKeeDAAfT09HQEACk3rlarBVTY9k0lrxuRY8x6s+Q62uTovJZ9sBSAs2fPolQqBZe3znGbssajb6isrq6GCGY1uHUP85QUUili3/NZ+o4sR5r3t96QLINHpVwuJ84YldgekYbopgnvt3//fleJ5l5VrVZx6dKljvVv2+JFNXtt4fzKO8+AJNe3UCgEj4zWubbra2BgIJGmxSLhKtoeD9H0OKhvVXlbK4BZi5ML2bqhgCQvrlAooNVq4cqVKxgfH0ez2QwL7/Tp0wHmnZycxKOPPuq2QTdoWrhZSmFav/R6b3FYl6mFvVUh9A60tbU11Gq1kJT18OHDIX0Er19bWwuKQ1paEttOjwdIBUk3wBgpmZu2KjRbW1vhvrrp2jqzKlQyVDY2NsJ7abVaLm+HXEoAgRe5sbERgkuYsob3GBkZCYhXmnhKCiW2QVryOueWp5TbZxEp0koXeeYhN0WOgdZ3LhQK4W/rbrGuK1U2yJFVnqcXXJAmu0VLvQNIlUJ+rtdb0TltFWP9e3BwMBH05eU/Iy/VC6ayQR3aFip2RCOAHaVQkS91F9p5X6vVEsgLDQk7Xjcjdpxp0JTL2bnR7Dsl543Kku45lqfptUP5u4uLi+H3nMvK144FSWg2CE+J88ZJ9yFvzmj7dyOxqNLZ2dlA3SmVStEUOyqx87Krqyu0mXNNXZ66h4+OjmJlZaVj77L7vq2NTN6eplgpFApRBTdNYqUO5+bmogZuuZzNuU/jWXO/Zz84n/KM+62Ut7UCmGVh2ENJD117/dzcXODNKaLC58REJwyfZV0zFJs08+zZs2i1pPx5KwAAIABJREFUWuGwVtQpDQ20ypVWO+AhoQqM5wanonf69OmAIrRaLYyNjYVUETxElIOXR2LvRVGcNNcSx4yHh0Vx6R5jpJz2T8nm+jzLRWTfqMywfjGwrdRpvjUgmaqGSgzbGDvw3wixyj/b4SUnBZLzo6+vL4yRHoxZz6FypukgTp06FbiUmvZAI3h1/i4tLYUD00OBKHxmGuqpn+szYuOd1s+bRUiY8Dzt97b9quhxf9E+KPE8ze3IiFultSwsLIRcoJrrUJNl63jU6/VgFNZqtYD0e/M2rxuR92LfdU3zHVDp9O65vr4e3Meq0FSr1eA+pnJi22LzGiodxu4X5XI5wWlVWok359TTYCVmjNs5Z41VvoM8RkxWwBeAkGKH88KbO5ZaxLlrQQsAHegYsHN+cR1Xq1UsLi5Gec9pa0MzDNBwr1QqaLfbQYnKG1S1m+9s/9N+Y9uvez7n8cDAQACBzp492wEIvdXkba0AxsSL1oodLtx4KNx4HnrooY7F6kWyAfEDh25ePp9RSQA60ERryaRtwh6CphwQAK6ia1FDbixdXV0YGRnp4NxYBTi2+cVI7N6hrPwr6z60h0+xWAyuQyBZv1MrI9j6u7GxU+FhzPtoioUsBZwyPz+PYrGYmvA0JrbvaQeD1x+vDqzd6LiJxdw0WaLvnS5D3hfoTPLM/JALCwtBAanX67h48WJ4RzwILRE8dhjr57qmY2XjYv3Mw7OleOO9sLAQRRf0N1wHsTyTMzMz0XarkO+2vr6Odrsd7re0tISRkRHceeedHWvcEu91PCziyTnhIfueohATdafqe4253mMIjHJCAbhrSVFcrx3lcjmkuQG2kfxnnnkGMzMzKJfL2NzcDDxIT3QNevMxhjxyL9N9hgqVLX9oEXNPdL5zj2a/LfqsPE/vPuriVyWZ/9bodhoRRHBtgm+CDMwJqShylvGrz/U4e2nGWNq61Xdm9xRSZiwam9eToEYm00op1YfplrLaeCvltlEA7eIFkgeYvYYTVS0prUfpvUzWxrQHBN2+QLJ8jLqgsyaHF2XEdmZtwl7fVZQ7Buws9GazGRb60aNHw6LWdiiZXu9nD2X+JsbL8aww6x6xY6QVLHj4anqHAwcOYHZ2tsM147lt9ECiMA0HN0mO3dGjRzuCIThuzWYT73jHOwBsK5Esd8a+ah+yCPba97zpWfTa2EZmg1X4d1oeybSKJpwX2iZN8sx7kqNlDyUPMchKh6H3jf2dVyxv1DsIYkgJD0gdA75nD/3gMzy6hB17IF4FRflunPOzs7O4du1aUC7Il+M8tu5CO49sfjnOJ+4Ntr0x1N9TwBhAQBeu5ivMo/CyfTTMvHJrsXapYcsUUI1GA2tra3j/+9+PpaUlvPjiiwCA/fv3Y3Z2FrOzs6F9WahTHkTUzhn2gfN8t/w/9dTYso3KVx4ZGUmg7WlrwyKS5XJn4IyXQ5HBd8yswAAf1uX16BxcG3bsGJVuDSWP+6wKa2z96992T6nX62G+6xxPGyNryFH4b6X6ZJ1fbwW5bRRAb/NKO2Tt9UpQB/xFrvf00smUy9u5686fP49isRgsflrGmivQookxXgOf60kM2VFLSPmQihJoaS21EvV+09PTYYHruFQqleAizZKYwsF7aT94PX9DHpm2T/PNaa46q/TbNngbJ+vuEmGMKauq3HqWagz5S9u4ssbMmws8ZPX+3gGpiJPOe08h0edYREnbrM+Znp7uUHCUG8M6pkTTr1692pFShgmOyatUA4jBQzZZtH4ey1npib4HLdiedwOnUqKHsTeedmwp1i2vayjGh9V1Yt3+XL90+1Eh84JZvPcL7JTWS+P1MvG3FSqSjLLXxNPAjnHA9aLjoIqz3Q80+MyrUWw5lhpEZZNRl8vbnO319XUMDw+j3W5jZGQEMzMzGB4eDgEqNuVVXq+LxyVV3qXnFdgNjYbrYWVlJfRV57ru3Ta9mOeVUcqMRxFiLjxN8K1jcPTo0TD3LVDCflm03uNYaltJpeG13pmdda57ogYwed4LCwsd7fLE23srlQoajQaWl5cxNDTkGspZicBvldw2CqBdvDyQ9u/fj+Hh4QRKA/hlbkjkzOIG6STUpNPlcjmElzMX3fHjx4MlODMzE55hCaNpkzqG9MQ2rsXFRWxtbbkH4/LycthYACQsMCAZPEKeoF0QDH+3z7WpN2LtJVKiyBzvr9UmPFeNHQub3y3tet6TaA5T+qibitfpJqHRyBYp4wFEF6P2k+JtbkQYNVkt26vv1Y7f0NBQpstEJasaS9pmaFG/c+fOYXx8POF2181W690eOnQI99xzD4BtBU4VJ81PyEPNBo1oigZ1NevnQCfibMXSHhYWFqJKo4cukP/KNluk1q4DL5gjaw1lKSBq0HlBAZ5CmyVMYB6bq2oQK12D1+v+RUWDFTSq1WpIA+K5VW17dXwBhP2T7eE4EeFR5UqTf1tDhy7LiYmJBAdPgxpiFIOs9ZV2LcdQy6ABPg3Be/8c+0ajgXa7HZBVr/pNWtu4nxK54txhMIeedbyfTfBt92gmYF5eXg6/j0XT5lHWdOx17tt1q4qWHTPdR5kGi8KIZWDn7Euj+Fip1WpYXFwMZ5HGCahX7fUEfb6ZctsogHYzYekjLqpjx46F72M8Ok/s5q7WUpaSwufoM7JcX/p727e0vuuijdVf1An64Q9/OKBDutD1WTZfk/LxPF5PHldP1oZLtI8bCp9j0UJuWlNTU7n4NLYNNqjDywPF31Iptv2cm5vrQG7p+qdwvigZnv3W8Y+lSLBzwXPzpfU9K/KN/bT0iFqt1jFGpVIpgUTxGfp8KjeqLNm8YTEOoSqTfX19iSApD7FIy7xvUTfSHorFYui3rWlty9LpYcx8bDxQye2yCl5aMIe3hogEcg6zNq73vpTPGcvhF5sPdh719va6LnBVHjR6vFbbLokJbB+qHPuNjQ3s3bsXExMTKBaLAfUdGhpKrIM8iAuQDJwBfK8L9zhv3WuftPIQ19vBgwfDXnczlRv0/rEEzHyWziMdV1X8+Z2Ov3IvidTyvvoM2x5PYvucPYe8PYKpbXR/e+ihh0Kf9Pme5yxt7Phva/R4qC7z71KJ1XVq91FN/1SpVHDHHXfg2rVr4f70UOTxyFi0le/CPpf95ueeMnyr5LZRAHUBcYPVjOFAfs3cc0nSfXj8+HH09fUFDgSwEwr+0ksvoVgsBhJtoVDosEhsW7yJmHdTt9eoJW0XIhfN+Ph4WHBaCYOf6YK8dOlSAoXQPEtZbfHaqwtD3UD6znQMYhb29PR0aCMPnbwBGFSg8hKB2ZZYX+x3uuFaviIVl6x0OvbZHjJES9hzfStqspvn8Lc6j7ghr6ysJCL2aFWzb8DO3C4UCgnUSpOn12q1ROS1V5+X68eWl9Pnau5EoHNt67pl+hUACW6iUjIs0qhjMjc3l0CT+Jkd7zxi15ASyYFkflDe2/JB6/U6NjY2EhWIsvhS9jPlMilCTUTFi1geHx8PByHHX5FBDVhIc5UCnRkSbICFHU9rnFqDNUaHsb9ZX18PCasHBwdDBHWsvrQVvR/fVR5lx4rn7uT9Of6MpueczZNA2iJiHodbx3o3+6Ddo708pJ5XR69RsX2wIILu+1b5z0JnVQgGaVm9GH2GwnnLd0EDslAohD3cjh3faYxTeyvktlEAdQOrVCrYu3dveEFcRB706y0A78WVy+WQxd/jS1mXlPIdYhnsiUBkTRTlLcWEB16MbGzJvhwXeyDruDzzzDN45JFHEvehEhML9mDfrELiKae8FtiB5wE/7QHvw8OLz+emmIXi6qEGILHpxzhJ3ualFi8tWBtJzhxXm5ubiYoHIyMjQdGxbm/Pnei1wfLzeC97mFhlwKI9ac/Qe5HrQ8UlllB6eno6zJ/h4eEEDUHTj1iUg+vIKpTVahUrKyv48Ic/nHiXnBd53eCK9hIxjqGOaal8iJh418/OzoaqKF5ycwr7TkK95rvjoUKhAh0zhM6ePdtR0D5NGeTnsWTnWoKN77lSqXSkS+JByLrGqsjZxOBp7dc9gNfZd0LhnsNneZy62CFuP2ffmLAayA7YyZLYtRxrSxvh+1eOHpFh7m9cX8vLy3j00Uc7knintUURMaX0kENJ4d7jUVG6uro6vA3W2xEbt5jhfrOiSKE1TAuFQkihpvvo/Px8R6og3suejzEQxvaD/HmiuN59gU5qwa2U20YBpJTLZdx1110YHR0NOfdOnToVNrC0KCJPYpvRbvz8XiUF3iuPWNQty+2n7aV4iu7m5mY4IAmt07LRwwRIciYZPJFmido26feW7F4ulwO6MDeXzL9EHhFdUBxLbgCMZM5raaZxx/JsXt7c6e3tTZQ5s26s+fn5YMUzxyKwU1JIN3Rtg5fWg5ucHi6x7Pe23dbNZ/tpKQNq4RP5iQWUWFeTZ6Vb97/OKU11wchbKre6sXtUhSxR7hVdwDouaYYTf1+v1xM56VSp7+npieYXpSgys7GxgatXr4aAnqWlJSwsLCQ8CnyOopS8j9JcePCpl0HnBn/DfqohyH4tLy+HpN7ADvWDa1Kfy4NwY2MDx44dS7xDz1Dajdg9Quf5yMgIFhcXQ2qSLITJopqcR5ryRBNW5xWby9UmAtax1kAYrnP2Z2xsDMD2uxobG0NfX1+iCpP2EUgi1xb1z+LxUpGzNAw7T3VOMNgqz75KuZl3nvZ7KnC6Z7B9NlLZo0uoB4Gua6ATyfS8KFZqtVoCpOD/WSCAa5DBbXxft5oP+LZWAC0/j4ux2WwGi52QLas1ZEG/nnByEfnSTPG0qiw3zstJxMkYQx3Umk5DabIOQOteBZBoLxE2pjfh+A0ODmJjYyOkMdi3bx+eeOIJ9PX14e6778bJkycDD4Qbq/bPa6/Ng6UcKGBbuSU87yGR+q7IQVMEVg+mNPHQkN0uzFgfNbrORolSoQWQOHhVGeUm7aEVnvBwARACjRjZx7rIGtxjOWux/lvF0Ga35zNjLq8sGoL3G/u3KikLCwsd0ciqOHocNv6t74kuv7GxMQwNDXUcaoqYqdj7rK2thUNFCeClUimBpnmiyEy1WsVHPvKR0K7x8fFgGDzzzDP46Ec/inq93lGqbWNjI7zXvXv3Ynp6Gt3d3cGAApCIEqdhpBwqYId7qG3V8oxEYJnmB9jhQ5IbyM/UGM4yrD0ESt8DRTlzqkRZoyINYVJKC+9F411zUu5WbC5Xy/fUwCnWT9cxIuqriC/Hm//Wd8jnrK2thX2b741jxud5NBEq93klzVhXyeM5867JAi9ULl++7F6j/dQ9165X3QOzQJe0M5X98ALw1CNDnvS1a9dQKpUSZ92tUgLf1gqgRUvU6gXQkVLgZiBpGwnJBU3LXA/ItOS03PxXV1fD/VQ55aHiLZBYok9P9PdqAfOzgYEBLC4uJjgiRNKGhobQ29sbUMCpqSmcOnWqY8zs/flZGnrGxWndBqo8W74csI2OKNmayJ8eOh7iGRNLWs5a9LbfOt/YXioAy8vLiQoMsXtx3Pi5TS9CsST1Wq0WDhWbo8rjzqS53GwbeH8dD0sU12AYTzg+Wng9r4uVf3ullur1Ou6++2639jaDJry5qG5my03TPpNikeW+VJRzfn7eDSLw3n9srOr1OsbGxhKGAZBEt1R5OHLkSPhuYWEh1Hjm3sE5odxnKhX2wFIjhEaEXqPrlGNNF2BXVxfOnz8fkLm8RrXulXn3YpZuzGtUaADA+Ph4R2APZTcAwG6MRZ0jBAwsMqoKm6VSeJy3iYkJnD17NrE/2qwWOudpnCwvL+PSpUuBZ0pDQGkvKlZBT+PO5xkP75o0RSuNO66fazuVqzo4OJigVHgouN7TUxZjfbV7rtfX4eFhnDlzBo8//ngmT/E7JW9rBVBFN3hGrymv6vXeF0haEje7eegmSJcr78mcgVzM/N3MzEw4VLNcH6r02c/Ybk7OSqWSyCVGJVW5QPZZduPwFq0Gl2gbYuNGXo4XPNHb24v5+XmUSqWgCBcKBayurma6m9JQVDsuVm7GYiuVShgYGEi4nMibIgdV2zY/Px/eOUtgtVotHD58OLgw5ubmEvnymPi1VqthbGwMY2NjaDQaIWejomA6BvYA9SxTyxm0inXamOhvVXG0v8naFBVhOXv2LM6cOdOhLKQptiqW9+nRN3Se7+ad61h7nFiKnQssp6dJnKemprC5uQlgG2VgCqmxsTGMjIwEI9R6FVQBtbkCiTLxHXJN6drkeACdwQKqQHPucL4y7RH7vpugppjYtap7AJWoLKRf70EEptlsdlQHYRAL+5klsX2CuVzTPFFq4PJeRFc1zYkNzOD65TXqIaGxXq1Ww73suub+QS9Ps9nMzN1qFfQ34r0CyTPC7oF2/1ldXe1wsdfrdZw4cSK0T9upiC5F76mIPT1bXPOsRczzh9/pPbz9c2lpKZHofHJyEs1mE5cvX8bk5GSC3vE/XMDfIVElQDkUqkjlhfxjUZceB0BdnJYAzslsSdc6KdSaoRJgrykWix0RiLGNUFPVcMJWq9XAVdA+ra2tJVwkdvLff//9AJKHdqVSSYyNJunlwtzc3HQVQ+VicYyZXoP/HxwcTHA3Go1GOAhnZmaCKytNydDPFcWwEWp5o8O9vii5WnlKuokr4qQWPLCjnOhcHR8fT6B5eiDrux8eHk5UsLHVa7jh9ff3Jzhrs7Oz6OnpCWPIeZ03Ge5uNjLPJUyXSFpJNR3ztbW1jvVmEcu0PIdKprfIl7Yt1k/r/rRcU0paOhGLRuqcUFI5n8sDTQ1aL8hpdnbW9TZo1QhNAaQKog2Kunr1aoJHqu8O8PPuTU9Pvy6EIw1tJcp/4MCBRBUZL1OAdw/uUYODgx35CmPIzM1QQnhvu8+Q7zc/P5/oJ+cRgBCFrAq7Kt+cI6Rh2H1hfX09GO/6Liw3W9febuWNUlzm5+cDQk0PBpCsec+15rnY5+bmUiPjdR9ju5WmMTGRTGUDIOG6j/EIY2vA5krke2F7rTF+K+W2UAD5orxJoZL3hcTcmdwkvM/stcD2grfRt5VKJVgixWIxKGI9PT1YX1/H2NhYokoCgGDtAXFeBfvOA6DZbAY3CCcvc3/xILJR0Xrv+fn5RGADxSqi2j+ORalUcnkpPHA12pHRs+12O/AQbR+pGGulAbZ3N4tMUR/rItDvrcQQAI6juvFihyL5i0BnuoPJycmEwmif4YmOkSrv/LetOTs3N4dDhw51zEem1LHva7eIi4109NrJpMp5lD8i1V47VldXwzjZChDsg/ZHD151kymXje22B7Y9PLzx8KplWPHeo6KTOiaVSiUTaT9y5EiHMaXvQo0HFXJNtU/NZtPNXajXWMVJ0ylZr8PNugfZH6JX5EvaoKqYqFI/ODgYUDZVhGPPtPMyyxCynFPbn3q9ngissWNOrmWWEk1DV41HoruUixcvBjTK8twLhUJQNPOsPX3GGyVsG88/3QfT+PD1et01AHUseV9yZefm5kJ2DZbxVC9KzKtl1yfnWlZgm5VarbbrwKI3U24LBdBaj5S06NCbsfhiSoD93JvU3JQ8C4dtIXdANxmtK8lDzLqCFGXQfH/q3lEeDD9PGx9FBKx4/ZudncWVK1cCmX1mZgaDg4MdGedV6bRWqh3j1dVVHD9+PLjKC4VCsJz5DJu/KyaWK0PJswl7ohtGTAGo1WrhMPbcNBzHlZUV9PT0BAVqfX09RMCxhJVNe1Cv1ztSHeg1QCdq5iFVaQmxvU1Rx85DPvh3DG3NKpmk0Zvsp32+xyXz5pU11GLtBhBN3pxH8ii0wM57IMKmLkLNh3j+/HmMjY0l6ovbXJdEd7UvPAA1QIqHnxcYtJtD3uPQ8ZnWeLAKUmxM7Pd0dWt76/V6cAdr8J0nVjHwkHErsf3bjmlaRLv3DM5zuhfzcBc5Bhqsw3PDGny6lnt6ehLGI9taqVQSmR483mBM9B3GFPu0d2yNw69//etoNBp49dVXXUORf9txzqrM5fHymH4K2KFnaMaF+fn5DgBndXU1cQ+PspTFm2R+YFsj/VbKbaEAUqh9A0i4WDxRqzXtRXkvPbaIreukr68vEG9HR0ejVi8nTbFYDLwOWq1UjC5fvozV1VXce++9GBgYcJ/P67kZMHktSwo9++yzePe73x0teRezem3FBF5z8ODBBCxO3sPFixdx3333BVetkvrJV6Oi0m63g/vXhs4z0WpfXx/K5TJOnz6dsOI9yD72Lu3naVafoip2LOjy93IaZgURWGWE37Mt+n/N12bdb96GqK5gRQeYTHZzcxOlUinw0K5cudLh1rTKWSx4xYqHzFijjBu850bVeyoyp1HhqhjejPB3GlDEdtuKNzHkxxpeWWINJSrtwPY4sB2NRiOBUrXb7Q701qIPmpdQESyvSot1N9u5k6aU12q1KNKuc5/KiqXfxCT2/cTEhOsmt8+zQm4l9/9GoxFKb7IfngLjUQhoTKgCk0f4vi33lHPOjqOHNnP9M+WV0krsPkxFim3X8Qe25wiTsNsctNb7E0MxdRw8hT1rvyWNh96HpaWlMNctWGN5c16VFRUa2DxPyPl89dVX0W63cfjwYbRaLUxOTmJpaSnsn9YrVS6XOwLebEaH2BqwxujNAgpvltxWCqAeokA8jYb9TRqUHxPdjGziYt5jcnISpVIpsdmrHDx4MKHkAdtoEi1h9uNb3/oWnnzySezduxcXL17EY489FlUCdVPhM/fs2YO//Mu/xI0bN3DlyhU89thjufpIsRUTVJHhgaYH68LCQqJerN7DknbJX2k0GuH3VjFThM1T3Ch5FQQl5lsFyLrIVOGKcUJu1hVt+ZfaL1Xk80aUabtt+TXA57rEULLdrAWuO4pVHNNQRrpuNPCIrruFhQUcO3YsuLW8g5jP8pAAz1DTShtst0VXvLnO62PijZdFm9OoJKurqyEgaHBwMBDLC4UCisViMDYssmRz/sXEyyVKtCnNExCjAajX4dy5cyHYoNFohLbnWRe6piw/DPDfqydbW1sJ3iTpBvqudd2pkQ4g6iq2CHSM8qDjpwqsrjkisnpvu3aA7bHVlFfe+GvWCzX6Xn31VUxNTXUEN7DNnjKdZlylud3z5qdtNptBQevu7k5k1tB9gWlW7DNjXihdX1NTUxgeHka1WsX73ve+oAwWCoWO6h8xQ06pIXwvWjAgJmropSWCvxVy2yiAnjVna/551r1GBXpcFm9h2EMiTevv6+tzN+darYbLly+HycIi20By01taWsL169exd+/ewA987rnncPLkSXdyqSuC/Xj55ZexsrKCiYkJvPzyy3juuedw9913pyJWhM7TFIF6fSeNAQn+p06dCi4c7asuel0gumkD2wjb4uJiIg0IsJNoNctqzaO4WHTKbooxXpB977sJ9c9yPylpmco056dFMTx+mE3hwACK3WxC9uBPQ0KVpmB/66Gted1Fqljb9EceekjE5cCBA1FDLG+frdh1G1vH3lyx46buN3utIh70CJAaYpFhHQvuGVoWz0t2D3TmcGSbFWXLs3bs+2a7eR8bUcl2x+aSBgV5fD+mgdHf6Jip4ckAlxiqR7FGOgsFKHqnUcOlUqlD4bCUh7S90qOfKE3CPnN9fT2cXTHRM6fRaIRgCaLmVOy5lkZHRxNBVXZsbC699fV1XLx4MSTPpneKkbO2cog3rylDQ0NotVphTff392NgYMA1FIFOQ55zx9ufKO12Oyhs7HOlUgnccttPHSvN0sDAMRpWuzG86bmJeR1vhbztFUB7eGgKBeYH002Ik8lGbnLS6/3SkMHYYqeys7y8jLW1NXR3d6PRaGB5eRn79+8PEUTlcjlhfTLSi4RZnUSHDx/GxYsXw8R+8MEHowggZc+ePXjuuefw4IMP4sEHH8QLL7yA+fl5XL16FUNDQ3jllVfw4IMPRvtjs9Fz3DylEdjmLr3wwgvBKtR0C0ePHk1EIVpCP7CzgZAjqQehFd1EtY3ADi+wv78/kZk/JsvLy+Hg0nswUz/b5o1RmmWaJjGjhJsTy0SdOnUqocAp54sHH3+vY0pU1W5eu6EzqCj6qQc0FdQ8FQOI9ClNwnM5a4LloaGhcJjFglIUsbGGGMdZqzc0m008/vjj4bfKh4utZw+hskajFXvYE13SQ91zgdtDjp/pu+faKJVKwcWnFSUU6dAgAj389TlMZJ6l9GsmAW8daPCGh1x56KoNQrIKfm9vbxQ9rtVqePbZZ8O7JYLMwAfl09l723fG/QLY4ZHPzc0lOM0xvrGeG9YATzPAPIWQnG+eXby3PYt03Vpub8x7oPdRBZRrzKKYjUYDx44dA7ANRJw+fbpjblhXqe0fsL1/LC8vhzYznRmDQra2thLeGJuqCcj27pAmROSXz6XnaXJy0l3nnFOTk5OBQsPf7zZLxK1G+zx52yuAdhGpshGDz8vlHa6c5psi2doiD5aArYiWlx7CIkrVajVYaPp5LJmv5ZUNDAzgscceCwpdlvK3urqKxx9/HC+//HJwGX/sYx/Dpz71Kezbtw+f/vSnMTw8HL4DgOeffz5xb4W8lQsyODiYsBzVDbJ3796ghFvrSblPKjyg7OJJc7epeKic3jdr42BiVCoS1vVkeZC6wXv3jT1PD1fl97GfRPDIFdLcflZqtVpwZXouKib2jXHtlNydhlpxM9ZNldcBSVdyXiRUkSPeXw9fRZW5nlUBzit6IA8MDCQCrx599NHQP227HQ9LB7D5/mJoU4xk7ynM3nUHDx5MoGmcl3rQcD+ikcQ9L5aM3tIYVOFiOihtj1XUOHaaSsq2P8uY0PHVdcb7W+OQn8WMqnJ5J/muDeYhH1zbboNjgB33rSb35+8Uzcwypuzc5PxN44vruPA36s73UEU1BCj9/f2Ynp7G8vIyWq1WQOuazWai3fobNb6Iuqurc25uDvV6PXxHOoZdD7b/MQNpaGiog6IFIJEwXnmPPF91n7UueK5J9o9DAAAgAElEQVQRKsCWp637NQPj0s4D7VvedFVAsljE/3AB32LxOBWeqNWqE7DVaiUiiJh00+MCxSxTwD8caNnY39lF0dXV1WFVDAwM4OTJk0FBS0Mgn3/+ebz00kt47bXX8NJLL2FychIbGxtYXV3FoUOHsLS0hDvvvBMvv/wynnjiiUCmpUJ448aNDktINyWrcJP/0N/fH/Ilsi02/5Pd0L00LNwQDx486PbPcyMBO7woL2VOGup27tw5DA0NhbQBNrWIokyvV/TwtogaKQDA9kbSaDQSlWPY32q1ipWVlSgCR/RS723RHQ+9ih38qvwDO4EaOk58dpZC6V2nvDz7XQxx5b1JN6CrTlH0mEspJmyrttk7ZFR58eYKr7PGgrYhpjDXajX09vYm8rdpAJCORRYa7YlFEfv6+tDd3R2QJw8R5TpeWFgI91GFQZX6tPbwPVQqFTenqo6Boq6aaxSAi+haFEvzwsXGgM/Wea5ejqz8jmxro9HoUNb5bF13MQNM1xbdmFlzV+9nq1EBSGSX8H6n700NZz4TQKAcxWom21Q2McAF2FZSL1y4gEOHDoXPeL5yrinvUVF/uy45RuodsoYP5xD/z0Tr9mzwsjSQmpRXecs7BrdCbisFUHkInrtShS+XyhYn1/HjxxOKH7DjPlFFA9g5DDY2Nlx3x/HjxztylqlL2rYF2EaaLly4AAB4+OGHE2gfr1tdXcXTTz+NM2fOdKCB5XIZ73rXu/C5z30OS0tLOHToEH7yJ38yVBtYW1tDuVzG3r17QwHyzc1NHD16NMEvpBVVqVRw48YNvPDCCzhy5EiCZ2Wl1WqFsenv7w+bm5fPi2OibjUbYUuOpB5Gsc27VqthdnYWMzMzKBaLaLVamJqaQrFYDFwPHtD2HqVSKXCggE7iOxUtm8rFUyh5vfaH1yta6ilNzCfIQBkigpSpqakQNa2H9srKCo4cORKusykftG3WfUOxBxSVfsuRUbqFEu5jCI19V1QmFGm/dOmSmzw1psDbe2s/PbdWpVIJicpHR0cTLmhVGlglg/e1WQS85MdWgfDEKvFpVQJsvzwekqJ4fX19CSU1hkDE9kKuZSqbNik46w83m00cPnwY9XodV69exXvf+95AQditbG1tJXiDStewY8C9QMfAptJ66KGHACCR3sMql964eEY6szbU6/VgSHAsrHFjo31nZmZQLpexubkZFDjl9SmS7RlgqggzM4K6l62bVGkFdo3H0EcPQeSY2O+mpqbCfQ8dOhT2r4MHDwYkmAoU/+bYKFLH3/X09ARuHt8j21Sv1wNKR4nt9WnijQXbZSOhrbduN4obXdcUj2v6VpDbQgFMc11licLE6+vrwX0JJLlPloCtbjzPLaIIXp5axOXydi6iP//zP8eXv/xlFAoFLC4u4uMf/3hCyeM158+fxze/+c2O72u1Gl588UUMDw+jr68Pr776Kr7whS+g2Wzi9OnTmJmZwenTp1EoFLCysoKFhYWwSd17772BF0iO4OXLl/GlL30JN27cwNraGj74wQ92KKXl8jYnZWpqKowJN/SYi4zjYN1qKrsJsiiX/TQxynVJ28Ct+w7YSUbKtjAfYVrwjMdTIoKom40q0YrkTU9PY2lpKSjaqkwyJ6C2hYeCVVg1KTKVV6ZD6O/vDznWgJ1ErapkK/I5MbFdyQTYOdCWl5cTFnxe4VhVKhV89atfRV9fXyhnx7QddMV5rq8Y8k2KAceDObnYtsXFxZAfTO+tFBBWnSCCY6McY1wnGpt6KNiDkQZGvV7v8ChQlA8FIJECJw9S6/1bf2P/zXesa9CO+cmTJ8N9OefIWeY13vvw+IRUBvgd+drFYjER4EVjrt1uJ7wQijjqmNBgm52dTax/RYyATtTVm+d6na5Zbzz1HQA7+xU5hKpw2OAcuzdyLyoUCmg2m2i1Wmi324HTqWLflY5Ds9kMHgDlkMaE3h+K7oPDw8PB7cuctVbOnj2bcK17Y6OVMixtxJb9ZAT50NBQx56sinAew4f31oAYi9Rru1UsWmslVpnrZgyiN1NuCwUwDdK3knaAcJKo68BaajxQi8UiACQS76rkQSLtJPziF7+I8+fPo1Ao4MaNGzh//jwmJyfxoQ99KNzrqaeeCgril7/8ZRw6dAiPPPJIYhwefPBBfOMb38CFCxewd+9e3HHHHbjrrruwtraG48eP4wMf+AAuXLiAf/u3f8O1a9ewtbWF/fv3hwX++OOPo1qt4oUXXkC5XA4RxHNzc4kIZLaJQS8rKyuYmZnB1atXg2VPFFWhfkUA+c50E9Iw/DSSvhecoYgXN1l1k6p7hptHo9FIuAx5X5vjie88xndRUfeORQo1L5w+D9jmXsby/VExolLLDTQ2v5SXwgTaym1qNpsJpVTH0faHKCmvpQvGQ0a89WXbOD4+HsokqjvHkuljfbJI5sLCAk6cOJEwtlhne3JyMmpMqPJMRYjuW5sf0PaBn1EBUeRYXVKcJ6pwe2OlbfcOqt1I7D2o8HsqmXkU+a6urlTXqPcMRdtowPzLv/wLjhw5gnK5nMgYwN+w1KGN7KZwjjDXKZAeMBLjj9IYyYocpsTGlZUmaNwByWpMNEiIeisyaPNAUsG2oMH09HRHO5Wrpu2yRqhNMA10UhM84yFrDiltxTPQ1BBqNptBOe7v7wfQ6T5NQ+TYVsvdjV1v7x2rRJRGG4vtRTGk72bX65slt4UCCOxo3jHESRU4/T+tUpJcm81mx4RQUrdarsx9VavVEhGvdqMikpi2we7ZswfFYhHvete78JWvfAWXL1/G+9//ftfNWygUUCgUcO3aNSwsLODixYtYWFgI19ZqNYyOjuKuu+4KKNHExATe+c53hmv27NmDv/qrv8L58+fR3d2Nd7/73QCA5557DtVqFXfddRe+/e1v48iRIxgcHMS3v/1tjI6OdgShxNAUXXiWFK+/0eL0+t64WD0itD6bY+xtPvaA0MMd2LHYGSHmIXeqtA0NDUUjtSnKk9O26GZr3ZWKcqQh13o/poaxn9tn6XgqOgEAV65c6XBL22AnbuCFQqFDUfcki2+nhxFTJJGrQ4VZr7XIPsukcV5ogBbpAzQc6L6MoUgAOtLnTE9Phyhsyymz71sVP9tHVvngb3lfKjfWS5E2v3nPPIo1/52X9wgg8Hg1KpPtPnv2LFqtFgqFAhqNBr761a+iu7s78GWJvKyvr6O/v991i3E+KUK2urqKdruNffv2obu7G48//jiKxSImJiYShleMC6eKBZ+1vLyce5xUtra2XCTQQ3O8ceV8s8qLGgfT09PByOH3+n9Vkkm3mJvbrrDEuWiDBrX2LfvNZ1pjju3Yjasztt/oumQ5U46DHR9da5VKpWOf3Q13dbfieWpU0gxeTyw3Vb0zb1W5bRRATnBvIVvh4VipVBIQsi3QrddSarVacA/Z6LPnn38+caBzk7eEfyuM2q1Wq9i3bx/uuusuHDp0KCiY2paHH34Yi4uLePbZZ9HT04N6vY5PfepT6Orqwje/+U38yI/8CF555RWcPHky5HEaGRnBww8/jBs3bgQF8etf/zq6urpw+PDhQDq/cOEC7r///kTKmYcffhgPP/xwrgjkmIsszcKy1r/2VZX1PAtUOSxEGZVMD+xwayhzc3NYWVnpQDX0XrqxUpm2xHVtd61Ww8LCQofFze+1b2kWaloEIa/xxtxzX2jQEzflSqWSOJTs5qxzn/OYSpRGTypSFVMQdTztYUQ0QDlY1v1DRY91puv1nYSuyk0EdtzBdF/RMPHWH5WNSqWCZrOJkZGRoJSlBQHxsNayZc1mM7gudTyIbOh9R0dHg3uQwRjLy8uB11koFDA5OYlCoYBjx46lGjneu7dtTVs/Oh+ta8vLTKCIrSoxXok+la6urqAI79+/H2NjYyGw5CMf+QiAHf4a70HFkpHKFkVl0Nn4+Lg7N7xx8cYjSwH3RGk+HsKov48VJajVkjk8NZXZ6dOnceTIkcQ70L8t103Xq/U8eO22kqaMxapyaOCVJ/oce57Z7z3QRdus/eU+zr3Qa7t3bx0TpXHZ/SbG6eac9hLtvxXltlEAgezcfPZA5iSyQQ2x8G+NnCsUCsE6phX0yiuv4PTp0wB2NnW6+rzcRsD2RHrllVdQrVZx8OBBXLhwAa+99hruu+8+rK2tdSR9HhgYwPd+7/diY2MDtVoN165dw/nz53H48GFcunQJ//Ef/4H+/n5cvHgRH/vYx/Diiy8mFDeO0ZkzZ/DNb34Tq6uruOOOO3DixAncf//9uPfeezE4ONih8GkEMu8DZEf+2SAEK577XCPiYhLjfSr6pYcwFTzm9QK23//w8DB6enrcJMMq3OTz1EjW72OuPBuwpMh1WqCN9tdLQWTRZ26Oqgjybya4Vbe0dy89QDT4w7pgAD9XnuUZ2XuyrWwT09ho7Vc+13JG6RZXg8xzBWUJAxPUWKNiqQadjQDme7OpcoAd5b7RaCT4qNVqNbi/+Rubvoq/JzqUxxiKBSMpv5PX0QCwnEVvn9L5yTbHUhR5bbKKULFYxKFDh0JbC4VCBxLDsVpfXw/lLHVtqUHNd57GJ1bxaARpaE5sXF9++WXcc889qfdgf9TA1P1NvRxs06lTp9BoNKKKJdeTRh7bvY8oYL1eTySWX1paCnPYU4LzUgfUMKR41Bhgh9/YbDaDlyOrhrvXNp0bpAh455COUwzhU0Ta4217VIKpqamwXlqtlrtXamLyt4LkUgALhcJHAPxnAHsA/Nd2u/27zjUfBvAZAHsB1Nrt9ofewHbelNiFqe4gG2Ubg8D58jTfWdqkpMWgfDFGn1Wr1cSBtb6+nuC98DDhM1dXV/HKK6/gXe96V0DdTpw4AWC7koOX9JkRhT/0Qz+Ep556CtPT0+ju7kZPTw82Nzdx+fLl0JYXX3wRd999d/j96upqIt/fxz/+8QDtnzx5Ei+++CIGBwc7Us6w79qGp556CsBOpLIlONvINX03WtOSxHsAIVKTG5E9fPV9KdLHe5MwbXMOcqP0kFg7F7xnMpqXG6dF9FTUGo5F2fJ3StKmksiSRp6xYJ+pqXl03LPQDbZfCeZ0lduNkAcIsL0BDg4OYmlpKUQJs0wbx8+L9ubvrbuZ3DN9rqZKoru6UqkkXH7expvGS8vrZrLGik2V4VEVNH2GKkn/H3tvGhzXdV2NrgZIYgYa7EuCBIiJmCTLAGFSkOQhJgWGKpc1mGKZlThJObJc5Tw7z4mcksupDH/iP3bFVfHw+ZXzVUXxoB/PJZuSYlqxJQOEZFGiBEEGAYoi0AAaYBMju9GNxgwQ6PcDbx3se/qc201ZsfSkt6tUAoE7nHvGvddee2/yyiRaSvd1S0sLQqFQyt7Ab5f9b0slZXNnmdqro5fc42QONgZ4yH2KiozjOKqSxPj4uAraCYVCWFhYcLWP/WhyRcsk7//1X/+Fmpoa1NTUYGxsTCl8pjUilTudKiBpCnobTEi4fLbX2HpdK88M/mx6hk1xlGiUVEap1CUSCZVIH9jeU2TGCu4xDHQqKipS0fVcCzoyp3MiTfuLqb6vNNb0v2WSCkb2nd4OKTpqaVPqbPd4PU/ez75mm8bHx9XZ4/XMZDKZFgGUKa3eDZJWAfT5fNkAvg/gBIBrALp9Pt9/JZPJy+IaP4D/C8AnksnkVZ/Pt/d/qsE3I/rCzCRqVOeOcLOTVihFTja5kLkpFxUVISsrC6OjowoZkqHy5G2YFA/p9h0bG8OJEycUWgfA6HKV91RUVODUqVOorq5Gc3MzBgcH0djYiPz8fKPyqL+P9YSPHTuGeDyO5557TgV+PPzww9ZFxSjkzs5OJJNJhMNhnDx50tV2KpkSzZBjI/tCKgwmVykXrGlcuUlQuWP6FCl0rUrXCO+Vc0FPyyI3ernpetWX5obOtkh3q+T5eB0KkUgE5eXlLuVQFyI3THVC4cZme76OjNpQPKlMSGVT8juZIoX9ZFPWySvLz893uQ0BqLEKhUIqoi8ajSIvL89VwH1zc1NF0ZqSBQPbict1BUp+gy76WFAJo1GU7j6uQyrELJNFvqgezDM8POwyTjiXyB8j4hmLxRCPxwGkVjcypZLivJPt1aOQ06HbHCubMiSrZMiKHxQ9ZY5sh+l9e/fuVQZ3c3Oza62xPTYFWEbi63PU1HYd8UvXH14ijXpgG3SQ+U1N68eWiFp+V1FRkYtyYKMOyfVLbq8+bmfPnlV16PPz85VBsrS0hIaGBtWvUvEBzK5q6T3j98n+ZFsAM6db779M/ia9I/K9VHC9qoZ4CceE97Laks1LJd3zUimX33wz7/9DSyYI4B0AhpLJ5AgA+Hy+/xvApwBcFtf8GYAzyWTyKgAkk8mZt7uhb1W8XFiAfdHrVpu0dik6T4toSH5+vqtaiOM4aG5uVla0nEzcMPSIwp6eHhVsYULrTC5X0z2HDh3C8ePHXWH6uvJoupeuZWDLlTE8PIy9e/eir68PHR0dOHbsmFEhfv7559Hb24uNjQ1kZ2fjxRdfVG7ny5e3pkw8HsfY2BgOHz6sFrUcGxMPj32li5f7mJuETNdiEvkdpoNDVxL15+suj3Qh/9FoVI13psgDD4XV1VX1HlvKgt7eXgQCARdZXHL8vKxxL9HXjEQlqIDoVXL0b+IhTNpFX18fZmZmUFRUpFLJUCQiSKViZWVF5QtjG7jJ66W99Dbw/xIl8tqYTShyRUUFNjc3UxApKiRyPvDgIO2D32QzREk1oOj8QqLiOpeura3NWt2IhoUuEr3s7OxUARqy7iyjVAGgoKAg7YEaiUQwPT3tcj2yb6TiYCPLy+fu37/ftW+z/ycmJhTnEYCaBzLdkG1MvVz9NmUM2C5HmU4ikQj8fr+r3CV5bX6/PyM3PYXfcuHCBfUMpkK6mSjrTBRYrln+n6gh1zYAo4eD42UyNDkH9Tmp7+16W01UEPabTA7O66Qh7DiOch2bSrl68ffSeVRCoVCKUg643fmySIBUdIPBoOLuAqn1699JyUQBrAAQFv++BuBO7ZpGADt9Pl8XgCIA30kmkz/WH+Tz+b4A4AsAUFVV9Vbae9Oib8Y2a0m3wHSR0Wte76HI98lNWD/gJUoin3XHHXdY6/vaXBZe9xw9etSqPDqOg7q6Ote9dXV16h2NjY04c+YMent7sXPnToTDYWRnZxv7oL29HVeuXMHAwAB27tyJkpIS5OTkoKysDL29vep5r7/+Oq5evYq7774bxcXFitxfXFzs4uGtrKyon218tnRcQFYFMOWCShcJZvu9zSqUm7OOHgFbG0MkEkFeXp6KQtXbJq3uSCSCWCyGcDiMpaUl5OTk4Pz584pnKjdAKlXz8/MIBAKYmdmyw8bGxpCbm6sOEt3gsIlX3+jzmM/j/2VydGmly4OCSh1RPXLsALjqPMsDRLrBZP+yEsXBgwdVv0llT66ZdAewyR1v4wPJa3Rli0qmFD0vIlFLmRuO/cj3ZHKIm5BNE0LGa2OxmKutprxl8v8AVOSqF/qv8yQpcr6ZDCa9z2l88lmS46nPPSLqNjqIrY+8kHYp3Pu9+G861YSeFHo9qEBJpFy2QU8iT4VepnsBtnPPAumrWpkMFD059fj4OOLxOD7xiU+4jA2+a2BgAKWlpYhGo677EokEJiYmsLi4iJmZGfUd/f39yM3Nte6PelCfzsOTtb75O/5dZigAtpFRmWqG1AN+czqEVKe0yP6ZnZ1V0edMVwa46x7L+WDjmDY0NLhqDpvyJb5TkokCmMrCB/TQzB0AjgA4DiAPwMs+n+9CMpkcdN2UTP5vAP8bAG6//XZzeOf/kOibsddi5gFhI/KbFhEtD93dJUWGyuu5pXT+n62+L3l6dXV1qK+vdz3fdI/JzaV/dywWw/DwsHIzNzY2Kr4fAJw5cwZzc3OYm5vDvffeaww+kf2Zn5+P8vJyXL9+HeXl5ZidnUVubq7iL05OTmJhYQHFxcU4f/48vvzlL7uQKd1dpB9M3DiJ+JgsPJndneNJS1VujJlA85keHI7jpBDf5QZE4rUtilR3dcsNjArh2bNnVXskCjY2Noa5uTkAWxVDotEolpeX0dS0XfBc59jYEEqKjizq383cZrLEno1L2d3dbVxTHCdGC8oD0oT8ytQWzI/W19enxpXVYRjYQM6SdBnZlCI+16Qg3qwrUN5nciXrh/fAwADW1taUojQ7OwsACpmzKTc66kUkVEfI6LrmPLpw4YJSbKiwMHWIlxvOhvxFo1GXh4O8Kb5DT1ouDWq6901otvSqcC3rQVCO4+bISsTV1naTEsk9RTcUKV6Gg24ktLW1udBwGi4MAtDzl9o4mZw/vF6PTtXPDdl3pj1ffjOwTdeQkpWVpYxmAK60TAxYknOaHq/l5WXk5uaqGuScU36/34ieSSXRhgjLv+Xk5Ki+ZOUpvpdnMCP1MwlA0kWfExKpl+PD/UOfD6ZAHkomqO87IZkogNcAVIp/HwCg47jXsBX4sQhg0efzvQDgEIBBvItEX8zy/7oFRuFhIjcwWccRMJNWaYXo5GMuTFtuKSkbGxsutI48vaGhITz55JP42te+ljLRS0tLlatYD+owic79O3LkiIvv5ziO4iDFYjEMDQ2hpaXFqpQODw9jamoK+/fvRyQSQUFBAfLy8uA4Du6//34AWwol+3FgYCt59MGDB1XfSOWaG6AULlSTQsO/8VCRlTFIPv99FqK+SZjGTW52kjtIBEO2OZ0LUjck8vPzXTQCE7GcwRh5eXnY3NxUB7Pp+fK+dG3RD0y+v6enBwCMXEoKx1RHwgcGthJo64e/dKHYSOaZoJiSRyf5poB3fV7T9wPp00+YOJXyfhNKQGRUcsds88qGZrAtVHpNB5dUuvLz89UBLBX4aDSqMgiYeII6J4xtcBxHHfjkTcm22daKKYed/lwqJHqAHftZ9oOcK5lErEqhMmSqM2tzf+vjL/NElpWVpXDmWOtWN0SJApuABfmtmaDRgDlYwySRyFbaMl4vAQi5j3KM6IblfkaDinNCD2wkhYDfnI4ioq8POZ5MtF9cXIw9e/agvb0dZ8+eRV5enquiCvdYmQvRJF5GnVfqGgan6cJ3mbwOFAkCvRskEwWwG0CDz+erBTAO4E+xxfmT8jSA/+Xz+XYA2IUtF/G/vZ0NfTtEDga5SCZ42Zbyw0SIlyI3Az0pp16Imu2xoTBSeeM9PT09GBoaQigUwvDwML7xjW/gq1/9qgsJZORwIpFQvD4Z1KG3V3L/hoeHEY/HEY1GUVNTo6L4duzYgUQigU984hOorKx01SCOxWJ47LHHkEgkVLDK2NgYhoaGUFVVhZ07d6K+vh7t7e2qnadOnUJnZ6dCJfTAFt1dZAqEMG1uupUlN8pAIHBTlRPSuQw5bjZL2xQEwIhPSbCmSDIxk48D7jQ4gUAAlZWVViVLEuQZSZqJomn7xnR9Qpmbm0NhYWGKuy2dckQpKytLeTeLs3sJeWyMUGbaHubaY55LEt6B7bJ2XI9ScbAhg17oeSYGAb0GOrKpI2FMg3EzHC/5DiJDEkWhMRsIBNDf3+/6RplTEEgtrShzysmAFb7PcbZSxUi0qL+/H/Pz86556tXm+fl5pYDKTADAdl83NDQoF3W6VC5UEoDMokbZN7x2enoaxcXFalx1/qeOuOnj39bW5gII5M9eAWJ6RDngLjWaSCRcyK5USGVfUbzexW9mu5qamtRc0A0WGdAzMDCAu+66y/WuUCiE5eVllVi9vLzcVQaSgSZ8Jw1xqVzLkm3y+3UjSiqTBQUF6OzsxNjYGKqrqxXCOjs7i+bmZgBbnEEvBTDd/JRnP/dnvodGto7ksk8dx0F/f7+LzqSvnXeDpFUAk8nkDZ/P938C+DW20sA8lkwm3/D5fP/H//v3HySTyTd9Pt+vAPQB2MRWqphL/5MNfyviRT72IsfbAghMFoTpGXLg9YAUGVVIMUXkOs4WT+/nP/85+vr6kJOTg9HRUfT29sLv98NxHHXfG2+8gWvXrqGiogK33nqrK6hD3xAlb3Dv3r04deoUnnvuOQwNDakDdf/+/UrxY7JoPqOrqwt9fX0qcmxwcBDt7e2orq5WrmQdgWQuQcmHeOyxx1QC60984hNGBVzfkIFtZIKLkffNz8+7CtWzgLt0vdmUOpsbUAqfw+tkfie5aQFQOak4F0z5rUzEfiC1Pqa+QUuhFc/5JOe4F8cpU4lGo4jFYik5xqLRaMocTmfc6GtKD6rQ32v6vVQQAHedX4lq8d+6EqMrqTZk8K2KRKR50JoiUdmGu+66y/N5XmMnkSGpJAWDQfW98jAKBoO47777lHIq3azAliLH6FsS92V/cEyYugXYmqvNzc0uLnU65JQBPqYoe92gAMyor1RC8/PzXcaTpF94jSffT2VGzkcdccsELWefy3XAtEqscKPvbVJkdRiprLGOr0RZ2VdyLstKM6Z1xT3Liw5BxVOPqKVQgd+7d6/isgNQSiLvkfOd3iBdaaZ0d3dbFXzWyKaxxnKVwHYCe5k+SSb+vlnPD40Air4/S6TeNh9kWphM584fWjLKA5hMJp8B8Iz2ux9o//5XAP/69jXt7RcvqFkXHb1IJBI4d+4cCgsLXeWH5LPTKYq6YmDjGNoicv1+P1pbW9HX1we/368ItYxSI0J4/fp1zMzMYHZ2Fj6fD7fddpvRZcvfnT59Gh0dHQC2OEft7e0qzURtbS2mpqZQVVWFjY0NV/uzs7MRDocxNTWFgYEB3H///eqZVEqLioqs7meW1RseHlYH49TUFK5cuYIPf/jDKq8YRaJo3JBZpkqPAF1aWlIbEcdSbgImd58MqDCVkuKYSSWM95jyO9mI0CbF860gkzarn+3wohh4pWqwbZZS8VtYWFDBKHl5eQiHwwiHwygpKVEE/kzWmzwAZPqL/Px8ZXFnKpwLErVguh0vt6EJwbO5cNIhSVJMSofuVpL7jOm5XuMt72fFi2AwiOXlZdd1stgAACAASURBVGONXBOPSSJdVFJNCJQk7+vuUF7DYA2JPpraLhVjGnQAXAibPu6834ToSJL92bNnUw5rtsWr79gnOnIWiaSW6LQpk/p1+r7PKOm2tjbFiTWJpKrI+UKeudd8ocLG/Vt+hzT+TdxKKuOyzcD2vNHHm3OIhqbO32W/SoTPVMVHilektmns9eohsmyhHmCUbp+1IfWm75ZJ3mVEMvdIna8qr/n/nAL4XpFgMIh4PG4dYIoOPfOQ0lE9r5xSJuSKf2PeLgDYuXMnXnvtNRw7dgzV1dVoaGiwRvPGYjHs3bsX7e3tGBkZQUlJCerr6zEyMoI77rgDdXV1eOaZZ5TCRutV1gs2oYsAlLtsbGwMDz/8MNrb2/H666+rNshnUHno6enB5OSk4kRcvXoV0WhUbcb8dl2Ghobwi1/8Ar29vYhEIjh58iQuXbqEqakpVFRU4JZbbkFpaanayPXNhb/jIcRDS16Tn5+f4lJKt/hk2gOTC18Gn+hcEwZ46JustKBJiDbNGdmuhYUFNTd1Qrq++euHWDolTr5TUiC83JfyO9g/hYWF+OhHP4qmpiaF5OpGkxQvt6YpOz7doeQCmoI1vNpJBZ7uTYnWpjsEdPK5CfmS19vmum5EkGZicqXb0L10c5Z/a2pqUsqPTjkxiQmxZaoLzmsiUAsLC2hubvbMN9jU1KRc2qZgBts3cY9i8ArXnS3i39YXfGZ+fr4rmMzreboSKiuvAFAJ6TOJxuaeKL9ZR5+i0aiKJk3nopWKMM+KvLw8pUjJKi36e5uamnD+/HlrOiB9DXANp5szEs3knrewsIDCwkJEo1GV2QDY5jzrAX1evEXe5/V+Co1bHa3Xuaucz+mKOFBs6ZT4fsdx1FyVBrZpLvF5AIz7/rtB3lcK4ObmphpgW1JQwG39p4uU1A896crQnykP27vvvhu9vb347ne/i4WFBQwODuKTn/wkHMccASwVt4KCAuTm5iInJwff+ta3EAgElDL3yCOP4N/+7d+Qm5ubwr0zoYt6Nvm+vj489thjqKmpcSWfNqGHVDhnZ2dRW1uLkpISDA8Pq8luOqTj8Tgef/xxvPDCCygoKEBHRwdKS0tRUFCA6upqHD9+HNFoNCV4xeSi15UceY1MpUAx5XIid0UiHHQbS1cGRbYhKytLpbYhvwXYzu+kK1cDAwMpio6JS1hYWOhJRzBtZKYDRXICbZIJ+hgIBBQ6IsnWHGe6YWzKH2C23vnsvr4+ZTSwLaxD3NnZmTKOJvRWX19EAgoLC1Xb0iWFNUUvZ0IF0BVCGw9YfoeOJphcVaa9R9IU5HMcx1HpMGwoCl3ejuMY84+xpm5RURHGxsYUb23Xrl2Ku+U4TooxTGloaEB3d7cROc/KynIZhnq7qCCZ5r3eD7qhJfP0VVZWqr/re4Zt7KmENjVtJSUncioVUolyyu/S2+5lUElEzPQM2R79rADclazk9VSy6BodGBjArl27jEibfl6RV0dDybQfyPvJCy8vL0dLSwvOnz+vOMf62gHSl1k0reN0EgqFlFJZVFRk7Tt5xnOMvMTGqTa1+cKFC64qR7KvdSoGlXUTHeedRgPfVwogsL0I001MDqwtmldPDM08ZFwsTNip8724SCcmJtDV1YWpqSmUlZXh9ddfx/z8PPr7+/FP//RPrnJrVNyGh4dRVlaGixcvYmVlBQUFBRgbG8Pa2hpWV1dRXV2NI0eO4G/+5m8wPDycwr1znNRcgeTgXb16FR0dHZibm8Pvfvc73HXXXYhGoynooQz4MCmcpkolkUgE2dnZ6Orqwptvvon+/n6MjIygvr5e/X55eRnNzc04cuSIChDhO7wUGGnly3xqjFyT7gevwBw5tlTWOG42BFGS0235neThpVcDoALAwBCJVurPsBkZcsPTFRxpmZqeI61jLwSqqanJVdJMV759Pp96lq1esG2jk0iYbGc8HlfP0b/X1D+6i8dkkduqZEiXJKuOcK4wshWA0XNg+h62QaIfUinSeYdy7E2uJi8EOBQKKdL96uqqMl4YAakfjiblmcJ6sIFAQNVbBoCuri6Ul5ejsrLSSueg2MrjdXd3uyJ55T5KZTRTFJT/5thGo1G0tLSocZMRrV7PkcJrCwoKVCQrOXf6fLZVNaFIo47vpchqNpkIUyPJWsd9fX2oqalRfc3IXOnKBrYi6ZPJZEoWC8kdJK/Oy0uiG9nT09Nqj9y7dy8qKiqsCpYeuCeNkLcq09PT6mebYUl+Ivd/6a3RqRGm9cZ+t7WzrKzM1Y/SWNH5qqYcm+8Wec8rgPTrEyGhVevz+VIOFH1ikk+UbvC46dvqKurXEjre2NhAX18fxsfHsWvXLtxyyy24fPkynn76adx3332uw6yxsVG5d5lP78qVK1hbW0M4HEYkElHRlI7jwO/3Gzfr0tJStLe3KwVxY2MDwJblnJWVhampKUSjUbzwwgvw+Xyorq5WSA8DPlpaWlzcRKlwAkgpYdfT04MrV64gGAxiamoKWVlZWF9fx9WrV9HS0oKrV69idXUV169fx8bGBpaWllBTU2MMXgHcyjcjXXUyMRe1zf1gc09RvAja8u/pgiqkAcFM/jzsJR+Lm4VuUbL8F/8mU4WEQiEXSrG0tKTGx2a5mpQT2yYnI2N5uDDJtNw8iZ7alBnT8xmcQA4P1wGVDIkulpWVqQ3ZZHHz0NIPfh7AtrQZVIZkdCWTkrM4vUTK+C49itFm0c/PzxupAPLa7u7ulOhbOU5Aao1Wfls0GsX09LTqw5ycHNVmHfW5mQNXNyp27tyJoqIihMNhtafYnm97jx5NalqHpjWerp3SMJHP159n4uPq/TIwMKD4jnJs9bQ2PEtMBhWwnX7EhAoSPU3HQadIhZoKrj5fqMTxHTRIZT5E29klzyybt8tkgHZ2drrWJj0iukhDhfPKywixiWzD8vKypxHG9+ocaBOqbDPGJNdSXi/3CVnmjyJR0LeSi/APLe95BVCH0wFYM3HzIJAWF6NLJZHTJrZNhu2QbQK2lK7vfOc7+Pd//3dcvnwZv/71r3Hjxg0888wzOHr0qLouFovhueeeQ05ODlZWVnDy5EnMzs4iGAzi1ltvxbVr17C6uoof/OAHePTRR1FfX29dYEz6XFdXB2C7Li+jy9bW1lTJrevXr2PXrl1wHEdVo4hGo+jq6kJ7e7tC+KhwbmxsuFzMQ0ND6OnpUakeWlpa8MYbb6hUC7t27UIgEMDly5eRTCaxY8cOOI6DlZUVxQeUFUnYn5L74uX6tEH+JmI3x4/uJCovgD1QQh9Lk/BQojJVVFSk5gkNk9HRUezdu1ddb0InvZQCtuuuu+5Sc9hLOYlEIhgdHU1Ldga2I2NHR0fVgaJfo1cYycSF2tDQoPi4fX19cBwHhYWFCIfDiMfjSvGamZlxpZ6QwQryHUBqrsF0/Dop8gA1VV/Qv8eEculC95RJ6ebcYnQyxXTYSpoC3e3d3d3w+/0q1xwjItl2tk0quDYlVOcnd3d3o7CwUPXb7OysUlxMip6NF5mVlWXMbcdqKPq8kAqZRID5vTJVyM9+9jMkEgns2rULOTk5ypXJzAXSgNKTTss8f/r35ObmupT8tbW1lIhdWcbRNA/YT7oCIQPaGKWbzg0o571MmaN7NvRgF7aRfSrPLt0oIdeT1XhMXEm5/zOXIbDFV7Yl3paSjvMo23azyqGJQwx4u5P1dUxF0WaIc0+W401F3EbVMO3DWVlZvzcC+nbKe14BBNwQL2C32GV2eSosjCJkZJZ8psntFIvFXMgbF5oNRYrH45ifn8fExAQSiQRuv/12RCIRPPHEE3jwwQdRWlrqUqqmp6fR09ODN998E5ubm7h69SqWl5dx4MABXL9+3ZUWRhfJI9Tr8p4+fRr/8i//gr/7u7/D8vIy8vLy8Mgjj2B5eRlDQ0MqR+Ddd9+Nvr4+VFZWKvSQ4jjbJeWGh4exsrKCkpISNDY24ty5c4pAzmvX1tZQWlqKffv2YW1tDQUFBSgrK0NraysuXryIw4cPq4ok7FP2p4nLx7GwuYCkm8MWFSvLPukWvO76kWPf0NCQ4t4FoPLQkbuZk5OjEGjy02pra1Uy1XTKis3I4NxO5+Zm39fU1KQlO7NvyWfRjRiJEmVClDcJnx2JRNDc3Jzy3mAwmKJs8JulsaZH3ZkQXLqfotGoco/J5MdUsHgImgy+dN+ncwDlXiMPQR5AXhymgYGBFIL7hQsXXC5T6aXQFRWKjozZxpvzSFZzGRoaQjKZTOEKeykuXH+maFyOKQ0gBg3w2Xym7nnRkfxPf/rTyrszOjqKxsZGlebGlsZnYGDA9Vx9LgFb65jtW11dRXNzs3IrE22n0gRsrV2mRuKcsbkcJSKl59NLJ0S02G6bZ4P7mMw/qL+H/5aek3Teq9LSUrU3RqNRVxou01nItrDPlpaWXLW9bWdwOs4tAFUPXX6/V01d3VujK2zynTYKA9trcxfb8nxyL0nHYX6n5H2hAHKDI7FXLhbd4ubPtARshds5afQJu7m5mTK4eiF0aeU+/vjjGBoaUrmwQqEQGhoacPr0abWI77jjDly+fBm9vb1oaGjAwsKCqsixa9cujIyMYGpqCuvr6xgYGMDx48dT2isDQEpKSlx1eaWr9V//9V/R0dGBtrY2XLlyxeXKJXewpaXFlQyaCmJjY6MqKcc8gKwqIq8fHBzE2NgYbr/9dpw8eRJlZWV47bXXcPvtt6u2Lyws4KmnnlIKant7OzY2NlycOQCuPFCm/tbngU10pYrKhW0c5T0SceJc090+nZ2dKh+dRKDpDsrJyVHzLF3xeVOAkTwcbG5uk3LiFRgRiUQQDAaRSCSM5bF0ZJQKiM01pt/H9BE+nw+rq6subhfH15Q2QiITetQdsIUIMMWFTK5syr8o3WUS8bUFIOgHXbpgL7l3SFRGKuy2w5Akdoloy7qnOsLJ/cKmiMzPz2NlZcWKWMoxk99BQ0JXNEzBHrqiaxIZ3S+RZVsAiY5eUemg8hsIBJTyJ0n/8h75LbZ2S+VMImQmtF2mS9FpFyaXoy43owDoIIPNs8G/mxAmGcwin2EqSWrjj/IMPXfunGse9Pf34+677zYqb+Ri5+fnu5TGm+XB6Ui6vF+uCdu9FBNXWSZL19efba6YAsbYNp33ezOprP7Q8r5QACmc+HIRmBAeugglWfxmxMQ7pALAdsRiMTz99NMYGBjA5OQkysrKUF9fj8bGRnzpS1+y8gd8Ph/Gx8cxOzuLc+fO4c4770RVVRV+9rOfwe/348KFC2hqasKxY8dSFrAMAGltbcXS0hIGBwfR2trqcufyG2S0MBM868EloVAI3/ve97CysoLFxUWUl5fj0qVL+NSnPoXa2loVzdzY2IgzZ84gkUioiN+TJ0+itrYWDz30EKqqqlxJofv6+jA7O4tjx45heHgYAPChD30ohWfG7zVB7hIJSKeUcBMsKipCZ2enImrL60ypTLwsVvYhuWt8P1GqrKwsTExMpLzLlrNMzlldeHhJyUQ58UJyHMdBWVmZOjxs76Xip/PY5Hv0e4CtZMMUv9/v4gFKtETn3PFntl1GcJqUax0NksihTJ/Da01tpXAe2Q5aXfR5J7lTQGqNXpPQhdvf34/V1VWXcksyumyr7PtAIKBqJRO50l2PTI9FNyCVAs53W8CcHmHrRT2w7aOrq6vqWht6LZVwPp+ISyAQQFZWliu9lx5ooLvA071DKve6G1cqkvJZN6PQ2frCRBfiN0uwwebZoOhUJt0I4Bx3HCcl04GOOJvQQ/1csXEH5dqUXgIvw1T+3cbR9/v9KRVoiC6mW0sySwSwzU01cVFtaCDFNDdsxk+m3/iHlveVAghAoYCmTmd0kTxk9QloWlh0J5GPIVFEkuZ1yPz5559XLt/p6WnEYjE0Njbiz//8z1FdXe16Z09PD+LxuKqsAQB33nkngsEgqqqqAGxFr+3cuRPJZDKljBYnp0wv09jYiKeeesrYR0eOHEEsFjPmIpTBJUNDQ/jud7+L7u5urK2tKT7OtWvXVPCI4zg4ePAgBgcH1aZ57tw5lJSU4MyZM3j44YdRWlqKo0ePKg5hIpFAS0sLzp07p6qM7N69G/X19ZiZmbGisl4iESOOr66oLy0tKT5eTU2NqulJMUUVy8NSR3M4B3hQFRUVucoT9ff3IxKJIC8vD8vLywgGg0ox0CXT2p7y8PO6nt+V7ple0fI8kDjnvQ4OitwId+/erdZIPB5Xh7HkbFG8ArHSGWlSYZPuG2ALoVheXjaud9uz9OfaRCKVbLusmMB3mr4X2A5ImZ6exvz8vAq2WV5eRjweR1NTk2u/MbXFcRxX4nRZlQbYGg9G57a0tChlUCr+5AXKXGby222uZ70dfB/nPV15fX19yMvLQ0FBgUIDbcEhkp/NQDFg2xMglVHeZwvkk+/QlSuT4k838PT0NGZmZgAA58+fx65du1S5wcrKSvUMG9/LNmeo1NrQeNv9JrRPRl9zztEY0JV027Ns87u5uTnlLJQUAdkOvmdpaUn1xc2g5tK9TKS/rKxMJbpmdRWuZ1uUuk6f4J4vg3W8+sIk8jvYV8yIQBkYGFDvejdGAr/vFEAAVgK8Ljbrh5uBKR+W6d96QeyRkRHMzMxg586dmJ6eRm5uLq5du4bJyUl0dHRgdnZWuUxNyB2w5T5uaWnBAw88gHg8jpdeegmJRAIf/OAHUVBQgOzsbACpVT9KS0uVQhaPx3Ho0CHE4/GUaFtTLkIKNyMicxsbG4hEtlK9zM3NobKyEuFwWLWBOfEuXbqEvr4+rK+v4/Dhw0gkEinvveOOO3Dp0iUkEgnVB7FYDP39/ZidnUVraysOHjyo2kKFyeQSNOVXs7m5OA948NE1KlEFcm+kIsHEu8XFxZiYmEghRPP54+PjKUT68vJy5boiqmObl7Y5y2S1FLbrZkuZyYOKSoCMMLWlFpF9Q5HKqok3q7sWgW0L3qTcpVO0+DfOBXk4kS4gLX6JIs/MzCAWi6k+ldw/qbTwu2QJPJv73IbkyMNRup1k3zFnmB6IxoPO7/crF6Wpv/S+A7YCaYhqBwKBFLRERknn5+cjPz/f5cbivPVCVuS46hUY2Ce8hmuEaOh9992n3qW3nfdS8aK7j/SBpqYm1NbW4sKFCy40z+a+k2OQ6Z4PpGaE6OzsVP1mSwG1ubmZEaeNQncpv0EqWMzDaONg2hCm6elpF+Xg7Sh36DiOi2YhAyd0BM7kabiZd8roYb22O58zOjqaojTq73Gc7STh5NZKZDWdeM0V6enhfp5IbFXm4fqS59C7ySX8vlEA5YKSbj8WkmdR60zIztGod2FvKRxwbogjIyPo7e3F6OgoCgsLsb6+jpmZGfh8PkxOTuLMmTMYGBhQFTmotFEZq6urQyAQUIoZADz33HMoKSnB2toaAChl6cSJE4qDx0APVthwHMeI8EmRuQiBLWWyq6sLAHD8+HHU1dXB5/MhJycHlZWVuH79OmKxGMrLyzE5OelS7kpLS/Hwww/j6aefxssvv4yrV6+mlKhj31ZXVyMSieCP//iPcfHiRYRCIeWKDgQCyM7OthLtHcc7wIHX2cTv9yulbmFhwXU/U7ro6BoPBsml0YWJVokKSCRKup9lu+WmLues3Lh1zl+mSJaO7MmDanNzE7W1tUZiuOR+JRIJI7Fb5umyIQqRSMR12HEd6qJv0PrY2YIusrKylCIv+YH0AFDy8vIUmiO5blKIzExPT6OsrEwhVnp9aTkm+rdHIhGVrw3Yqrxji+KUyhcRUu5FTPVj6y+974Ct2tucT319fa6qLXwvI0GZ+kkPgpG8O4oJQQK25rruKrcpQpK/ZQrc4c/SuGMU8dLSEubn59XeTXReT99jc/Xq3zAwMICJiQlXMJJcq6SHAFuR0RSij29FpBeCfSs5qzQQZO1Zk9hQNAbWmMpC6n0sv1ePGJf5GgF3DtQnnngC7e3tViMhE6oERV/fcs3w26hs2RRKuf70Oct5XlNT4wrmSddGGyrLZ3Mfp4td7uNyP3+3yftGASSx3qa4cYPlQNJNJwc+GAwqZYVWj42PYXLDhUIhXLlyBUNDQ1hfX0ckEkFBQQGKi4uxuLioEJe1tTVMT0+nKFB1dXUYHh5GIBDAkSNHUtKukKt36NAhFbUrXSX682wInxS2PxaL4Yc//CE6Ojrg8/kQDofx0EMP4ZFHHsE3v/lNjI6OYnh4GOvr6+jr68OBAwdSUrgAW4szNzcX4XAYn/vc51zvJZ9weXkZk5OTuOuuu9De3u5SlhgZfPDgQZSWlhqVPJ0/aQr00Q9tU2CDrA5iEh290VMvSGHEbzweVwd3RUWFQoc5DySy5CWmiDupgJo4Jul4kFLkdVIRMLk0ge3qBsB2HV/9/bLd0WjUpQzrG6St1JUXoig3Wt1tKKMmiaQRoeHYMG8fr9FdiMwIIHmCmbpyHMdxpZdpbm5OUdz5bvYJ01twz/L5fAr9M61XmQ7DNtZUVmS/kZPKQ5HfyTJfdGNJY8SrbBtLg8n+psh2FRUVYXZ2NgXRMQnHVBpMMpKWNXblt5pcvSbFUo6BjHbX20r0l9xjKlUy/51EK4mek9phQs/Zf9LYkgnhZZ1kfreujJnmu+RVmhR12/6it0+6km3CpNamZ5oQfNP+KNeyPnfldzEno/x7c3OztW26cJ7LuuG2NWxCsPWAHDl/qKSbvB+AO4fgu0XeNwqgzMZNF4VucUqiKq0lOQFeeeUV5OTkqPv0wA75f2mFyIPktttuw7PPPourV6+iqqoKn/vc55CXl4euri7k5OSguroa8/PzWF1ddSlQsVgspUJGaWmpyz18++23A9hSMurq6lwIoAnl0xE+XeSkf/7559Hb2wufzwefz4fe3l50dnbi6NGj+JM/+RM8/vjjyiUwNzeHffv2uRQochnpkohEIvjP//xPfPnLX0Z9fb2LTzg5OQkA+MpXvoJvfetbLt6ijmiaRF+AmSgJ+riZFqmeNDUa3Uonsri4qDZnohA6mVo+w5RzTrbN5C7R56yMfOUGT/eLDfnU+0ES94nmUUGIx+MoLy+Hz+fD4uLiTVnxUmKxmGuzlslTJX9Nfitgz56vBwSY2iR/HwgE1NjwGxg0QMVqfn4ewWAQKysrSrHp7+/H+Pg4fD6fK12MDOCQQm6bXlKQ6X6Y35GuWFlhYmJiQl0v69EWFBQAgFI42QbZj7LfwuGwUgxsiJApWa8+JyXHVt8zZR/bxof56mRAlfxe5uabn59Xh3c0GkUsFrO6mSVHTxokUrmRaDTHlhGb6cTklpN9KF2+wJaRw7/JFFD8T1e6MkHuOP7yWpmSR0b6S9HXQbrgBb7XtqZNypdX8uuCggKjssT3pGtvOoSYe4Wskc53A9u8Z8nnBtxIqn6+277T1k7pLja1nWNH5VsHF3Q3/P8fBPIHFB0dkUk4paImUT1pjXORlpeXp5TE8hI+m/+fmJhAOBzGzp07sWfPHgQCAUxPT+Mzn/kM9uzZg6tXr+LGjRtYWVnBI4884kKUTDV8mSza5B6uq6tzReGaUD79G6VI7qDjOGhvb1fl4gCgtbVVlYm7++67kUwmMT8/j+HhYbS2tuKv/uqvXFGzjrOVI/CXv/wlwuEwDhw4gJycHAwPDyOZTGJkZASLi4tYX19HIpHAvn37sLKygo6ODhQXFyveouyDV1991cUH1MVkZcqxMbk9pqen0d3djZycHOTl5eHs2bMAtrmBcuE2NTW5OEAS8peWbDAYxPLystqcZGJxE1pp2kh1Q8NW3SITkRwZeVDQKh4fH1foRXl5uWceS4o8dORGK79BoggLCwuqyL2p3JZNvDhVRBSlyHXNe3lgU6EDoNz+bP/u3bvVhk4uD6+lckP3FNvMAAsdgaIQMZWop+mbbVHT0o1nC4RKp6hLZYUiA4dkVLR08ROp4/UmV7xXQJV0Y9tQJptLGUhFtRhZTzRMd53LdWVz3/H3rErDtkuOpMyMkJWVpdqgp0W6Ga6fTZgkXipZck7qyJdNvNoh/5ZOmZmYmHAFpulr1GSw8rny//q9uujfJPclRrDr7zHte/Jvsp0UeZ5KN7fMHfpWxpBtI0dciskw1Ev5vZPynlYAdR89sH040dKUk6+2tjZlEXR1dWFlZQXAVqkl8v+IBOooj3welU7y1l555RW0tLTg2WefxfXr15GXl4fGxkb4/X71c2FhIVpbW+H3+5Xi5jjuQBC/349kMqmCLHT3sPzZhvKRz0c3j8zTJxNGS7TxoYceUhUv9OvX19fxD//wD/jFL36Bv/iLv3C1n9fV19fj4Ycfxte//nU4jqNqB29sbKhvr6+vV+6Turo6Vz5Ex0nPW/QSun110RUhmeLBK8BHV9ZkugV9wxsfH3cpibxHPkePUJcbtJybsj2mQASTmzSTfpDfSzQXsOeqMyGowDbfke/i/6k4BYNBjI2Nobq6Gvn5+YqT4/f7FSLJ7wPcqJXsW/lzVlYWwuGwQlVNlRJkX8kxDwaDxsAtqZhkZWUhPz9fkf0HBgY83UdeIlERjin/TXI9DQ6igwz40QNRiEBzrM6dO4dAIOAi49tcUXIcabTItSYVVqZbMokp2hmAy+Ut+0rOdxvVQPYNkJoihocnjQodsddRONMakAgeEeezZ8+qoBRyDisqKlBUVKQoCexP6UmIRqMpitvY2Bhyc3NTclmaDFP2vb62Ojs70dbWhqysLNe5ZKsE4rUX6O+09TUDp4qKirC4uIji4mLP9Cbcs7zco9LbwN9xvOV8BtzVW/Ly8lznqJfoe50JGTW1TZ+b9ALoXhFTcm++w4R08l3SMEwkEm8pi8X/lLynFUCbG6S0tNRFGM7Pz3fBxXJwJFeHLl+/3494PO6a9LToGZUpyecjIyP47W9/i+HhYbz22mvYvXs39uzZg507d6o6ua+88gqSySTuvPNOHDlyxKiAnT59Gh0dHQiHwyrQfgptjgAAIABJREFUg27Qzs5ODA8PGyt86EI+369+9StMTk5i//79itNn4hWSOwgAx44dU33IZ7GtFRUV+NjHPga/329sfywWw6uvvooDBw4AAE6cOAFgq8bwm2++CWArYvFjH/sYFhYW8Oijj7os+Ux5i4C5PBA3HF3B0DdNGY1nE/1wiEajyoInhzQUCqlNIxqNqs1EHphsA/9Nzo8u+sFgs77lNXyvyd2j30Plk5Yxo/vYZ1QEMrFYCwsLjYcBN8za2lpXYljThqjz4iT6Q5G8LwBq3cn2AvCMCpcuRYkMyHqjVC6LiopSDMTu7m4VHMKDOJFIuFKmyD7Wf9b3KHL89LQtkchWCcTi4mJX6grZb52dnYqALsWEKNsQK6kMUqLRqFIwTWKbE6bvle92HMcVgc3IXl5v278HBgbUM6Sr1/Qur2/lYQ9sGzkzMzMuhNyGtFPhk654yZEEgOrqalcKFq5DXWR/mIRjD6TWq5VInGl96ggf36cnQ6ZHA3C7uyU30hahT+6siZZim+dyjGSwluwnHbyRhosNSXScbU6mHiSVyd4lz3LJcdYDOuQ7ZX+kE7304zst72kF0CT6xiInOyedjMriAcFyNoCbtMtJx0NEcpf4PuaTq6iowNzcHFZXV1XewMXFRQSDQYWavPnmm3j88cexsLCQErwBbKEr8Xjc5QoGtnLyLS4uKp7ioUOHMD4+roI26K4ln6+7u1u5XBcWFtDd3Y2qqiocPXrUhTYSaQOgFC+WgNNd00NDQ5iensbVq1eNrlom+r3lllswOjqqStq98cYbGBkZwQc/+EHcuHEDfr8fa2trGBoawoEDB1wLNx1vEdgKJnnyySdx+vRppZxx3Ch6ShN5GPDv/D2v0TmjkqwtN9ClpaWUDc/n86lqE/pGJJEsWTLJ5/OlRKN7KXLy4DL1iaQiUOR6kG5JmT+MYlMmTaIfBlSKxsfHlbFFZc1WR5nvbGpqcvWl5KXprkfJaWSdUi93ua4c8d/T09Oua8PhsJovUpmVqaDSueO9FHD5exOSoHMl5VxlwEw0GrXyi/QDWk+Nw74Ftue+rOXrVb6LIpE9+Y1erjUZtGJSMkxChZyiu45DoZDLkOJ8YOCP/L2sL9zU1KTWhj5/x8fHXcEX/CYvBdFU+i8TV7GOxknFkmNs6qd061NfS/xmXZjyif06MODO4yfbOD6+VdtZb2O6ceQ64nP0b9IVYtu61SUSiai54cW1093AXi5q0zvSubdN1yQSCfh8vowU0T+UvG8UQMnrs4l+aDNXECffwsICJicnXdY/lTvygehmkvBwXV2dKuVWUVGBL37xi+jp6QGwlXR5dnYWnZ2dSCaTaGtrw8mTJ63BG4yKHR4eRl1dHdrb2xGPx/Hkk09iYmICjuOgsbERc3Nz8Pv9CIfDKhr49OnTcBwHhw4dwtWrV9UCKCwsRFtbGw4dOgQgFWkD4KohXFlZiePHj8Nxtl3TQ0NDqhD77Ows/H4/pqamXApkMplUv9+7dy+ALYvoxo0biMfj6O/vRyAQwMjICHbt2uXKJaiPk01CoRD++Z//GRMTE+jr68PXv/51I1ldoggUuiJsCKBumQLbUXr8doq+KZAD4jiOyrPHA2J2dhbJZFJF0/HgCQaDKYl72eZ0XBrpihoYGFAJqIkyMhdbJOJO65JJxKDpENPddZLvKPPIlZaWqutMkfa6EqGLbKM8HGXSdbrFmI7Gyw2mI7F8Xn5+Pn75y19iaWkJeXl5yM/PV2NN96quqP0++b0ike3cddL1VFBQgGAwiJmZGezdu1d5K2ZnZ9V40uik68yGClPRkd6JRCKRUklDJjxnShVGBnspczYky7RudHcfjQEvV6Y8tPkdRN5laTa+j+PF4AnZN3IvSCQS6v3l5eUpyozczzlW0qCS+z77IZFIKK65rbKPTYmwIZ98tuRs8h7TOPA9/Flf3zQCmNyf7dGTgDPyVradRtfS0hLGxsZU/Xj+3kYV0duro6YmfqoX71HvR7kfAOmDb3i/zUWt70dyfHQur+n5wBYto7y8PKXqyDsdAAK8jxRAuckD7oliitzhPYT6ObFZgqmrqwsVFRWoqakBsJXXq6yszBXFl5WVhVgshvPnz6ucVf39/QiHwxgbG0MikcDs7CxOnjyZwq2zuTpLS0tx4sQJxONxnDhxAhsbGxgcHER5eblyKzc1NWF5eRmbm5sYGRlxIXHkB/Kd5AAeOXJEKaVsg55qpri4GJ2dndi9e7crTyGVUGDrUJ+amsLBgwdd5d2eeOIJDA8PY9++fWhubsbx48cRjUbxwgsvYHZ2Fi0tLfD5fKirq0M4HMbhw4eNCapNQRL8fzAYVIpweXk5JiYm8MQTT+DBBx9McQfrG4u05r2QCH1zlpQAW8Qk4FYONjc3U1JWsJ86Oztdz3kroh+CLS0tyM/PVxucLKauo+F0nUplRCZ8JT/OtFaAbfcSN2BG2JoOH8DOTzNxAQOBgDHCkePPtlG5kelobO/Sv0EelhKVkMl+I5GIq4/YFka4v5VNXZ9XHAdWwqESBkAZprowAlxXAGwIOBVzupalcaTPz9+Xt5TJoUll1BQJrCsTHHvOWYpU6m0Be5FIJKUG7uzsLHw+H6LRKJqbm9U+TiWpra1NnQW6m5AKIr8PcNfapufIlmM2HXIsRd4j+1NXRtmP/f39yjDVx5/ziPXrTUqnpKjwnfpYLi8v4/Tp056uaNNY6t8EpFY8SreWZFu6urqwe/duAFv7DsEZr2AL6Va2Kd2yHfI5+hq0BfAlk0kjCPFukPeNAigl3WADMGr8vB7YOlxaWlqUq2Dv3r2Ky0CLMzs7G9///vfx4osvYmFhAYlEAolEAn/7t3+LO+64A62tra7cfQCUm9ZxHGvwBl3Ezz33HNrb2xUKR1SQylVvb68LidPTqLS3t8Pv92N0dBRPPfWUchdfuXIFf/3Xf60WFqtz9PX1IZlMoqWlxVXFo76+HqdOnVJpavx+PwoKCnDo0CGlQDL34eTkJKqqqrCxsYH6+np85Stfwbe//W0AQFVVFU6dOqVqBuvop4xMBoCenh5VHo/XnT59Gn19fUoJPH78uMtto1uMJjK17u7Qhc9gdC+wVdOUwSvS8l9YWFDWHy1BU0UIis/nc6Ev4+PjKleg5JnJeeaV/oCuaVl3Nzc317N2pj7feVhduHABxcXFLmVSt/T5M+dBUVGRKjUmv9lWhYBJ09OtTykSFZXubV3099mqRQQCASMCLN9na+PbadFLo4Q0gsXFRYUwsTqEdM9KAj2fobfThKpI5dikrPt8PmsAgxeSpYu8Vr+Xh7aMvE0nen1uqfxKRE6K46TWwJVVPaRLVwYXAe40RpJTJ8ef72fSbfZLU1OTKqnHaOx0YkPG5LfQ+OU6q6ioQDgcxubmJhYXF43KR3d3t1Jk071ff7fk1gJQdcxNAWkm0XN8yr3EFGySyVxwHAe7d+9WgXYAMq50konbN929nMvSEObPphry7xZ5zyuAOkcIcB+QNrHB1xR9UOm+o7UXCoUwNjaGV155BaurqxgZGUEymURFRQV27typXG8f+MAHXBy7HTt24PXXX0d7e7txsz179ixeeuklfOQjH8HQ0BDi8ThOnTqFw4cPo7q6Wj1LKmPNzc1obW3F66+/7uLmMVL4v//7v3H58mX4fD6sr6/jxRdfRGVlJT760Y9ieHgYd9xxBx5++GEVgBKPx13KWSQSQX19PQKBgDFIpbGxET/5yU+UUnb48GH1bbW1tfjsZz+Ljo4OnDp1CrW1tXj44YdT0E8ZbMJAl8nJSfzkJz9BeXm5yzX9la98BR0dHbjnnntUnWV5qOhIC0UPrEi36QYCAXUgBINBFT3Y3d2dsul2d3cjEokoZZBK3uzsrKq8AAAHDhxQChl/Z4tElt8jD1Me8KFQSHEKZa3qiYkJF5olXaq2A9xxtksp6WledGEgDJFO/Tv0IAPZdj0QwEv0vzuO46riYEJi0yFi/DvnKttSUlJibAO5a5S3w70jD135jYWFhSgsLFQKiqw4wDHnwZquHRMTE6rdNDS4JxIxYV/Islm6SIWHvFFTH8l7bYEBNKhv5tDOZA+/mb9xX08kEio9iKRkSOnr60s5B2QUKRUjPg+AypFYWlqq0C6vec5xIOfTFmixubmpOMmSHypRcMlrZiUaim406t+p8yFbWlpc77MFpJlEz/Fpcr/yu/R9wmtf1scinQFP0Y1Zr/Ew3SsDiSjSg6JXVJHf8k7Le14BNKF3N5s/ixGldPsAUElsZeRnU1OTypnGSZFMJlFYWIiDBw9ibm4OO3fuRF1dHR599FFMT0+7OHZDQ0P4j//4D2RlZeHq1asqKpftmp+fxzPPPKPSaFBR+OlPf4r19XXcf//9KVG8U1NTqKqqUm0xIYLk4S0sLCAajWL//v24du0afvGLX7iiiY8dO4bs7GyXciZRuY2NDVeQyvDwsMqjJ13Ug4ODKCoqguM46v5oNIozZ84ot7JEP2WwSUlJCXp7e7G+vo7S0lJMTEygqKgIFy9exL59+/Dmm2+iqqoKt9xyC1599dWUSORM5wyQPnqQReGj0ShmZmZw9uxZY5JgzheicQMDA64IPiCzihJeyobuztZRn3PnzqnDWRLkbWg4FUOZK2tiYkKl3dAPFXlQFRcXw+fzqaAf8vPIN9JRDR05zGR9mlxf7AuKXplFD/Swubqk6P1h6ntTma3fR3R3m/wuHiwyipPIiwxk8/JqOM52PV7eT4NARs9L91g6pAiwV1mSfDk+Vx64wWBQoZkAPNFp2UdyXPl8iQDTDeq1rxOl15O5U2i8EfmWipDf7zcqY3Sns+wo2whsc1VlkEg6RYDX6oiwHONQKAS/369K5ZErKjmSVD5oKPE5/E5bP+s1eMfHx9U6Z9veqkLDPrKJfC73Yy+KA/csUxS+/Cb+38vda7tXzrlAIOAyDGQycmB7TeiGke1s+UPLe14BNImcVOkOe2A7w77XxGGKCCIYxcXFqKqqQnNzs3K3tra2oru7W+W2i0QiSmEbHh7G/Pw8Ll68iD179ijUqqioCIcOHUIymcSTTz6JyclJlQogkUhgc3MTP/3pTxVy+J3vfEe5bKno1dTUGBFBJlaura3F6uoqiouLsXv3bnzoQx/C4OAgAKCxsdEViVxaWqrKsJnyBTJIZWhoCHNzc0gkEigoKMD+/fsxNTWFuro6F3JIxW7v3r3o6+tDR0cHjh07loI+ycjkhoYGFBQUYHJyErt378b169exa9cu1NfX48UXX8Ta2hpyc3PR0NCAW2+91dV++Vy9KkKmrgAd9SguLnYhgEwsC8ClNPn9fnR2dmJiYgK5ubmorq5WtAG+34SUyPfalA1uRjZZXFxUm6NUPG1uPbnRXbhwAQ0NDWoTm56ednGRJPlfGj50UTOn3ubmpuIbsc36AU73ud42qYzIMfBSeIgOmQ4OXUzEdCmZvO9mJZND0+TBmJ+fVxHizBGn95NJTO/SKQiymohMCi3/b0N6bK4unV+o88QYHOQ4jotrmU7kePL5MsBJKuwmkVxcmcxdzm3ZfqJdxcXFyMnJUf1EREwfA1nppr+/H5FIBKurq1hbW8Obb76JHTt2wOfzoby83NO9TqqJ5BDOz8+73P0ycI1rjfubLNeoGzGSr2t6N0XW0NXr3maC/EkUc2FhQf1+ZmYGbW1tVgPQ5C2QP9sMOv0a07dl0mbbNTIYaXl5WbmvZeWWdxPXzybvKwUwKytLRTu9Ve3bdK/kgpAfwsXx+c9/HhcvXlRpWA4cOJAS/UiFbXh4GDk5OSgsLEQymcRLL72EvLw8vPDCC/jsZz+Le+65Bz//+c8xPT2NgoICFBUV4Xe/+x1WV1dx8OBBhMNh/PjHP8a9996L6upqAFuHYEdHByKRiArQqKqqgt/vdymKt912G44cOYKuri4kEgm0trZiaWkJg4ODaG1tVQhfLBbDyMgIfD4fhoeHFdI4PDyslKwTJ06gp6cHwWAQL7/8Mvbv34+Pf/zjaGtrcyWQpmJ3+fJl5aa0Rf7KPIjAVvT04OAg/uzP/gxPP/001tbWcPnyZYTDYfh8PqyurmJhYQE+nw+33XZbSjDN0NAQRkZG4DiOqz2Zcpo45nTpeNW/ZSQvDxn9HTauSrrf2SLgZEktKjZlZWXKirclMJacKfkeun65wbIKA98nFVginRS6jBmgYBK5ietJmaWY1p7ciE3P9RLZTjn2RNdMwWFeCtbNcon077HNPRtazH/r+c4yaQffNT09DZ/Pp54lK36YXOS25/B63svgMv1bZC5O3chL117bdV578s0KI4L1FEZyvbOeLK+jAqUrV/zWpqYmlQLqwoULmJmZQXV1NZaXl5FMJlNQML5LBh6Sa7y0tKQMK4mCdXd3K/4fo6r1soUmRVyfKyZUnlQZchcHBgbU+sj0HJUo8ujoqFLSuXfwvboySkSXZyqRYmbekPWg9W8AzKlx5BrzWiumeylyz9GjxWOxmMtTw31E5+e+HXSR31feVwog0QdOAK/DPhaLuXJNydxs+sLRFwvDvbOzszE8PIxDhw4pJcPk0igtLcWxY8cwPz+PW265RaVByc3NxfXr1xEOhzE0NIR7770Xhw4dwsDAADY2NpCfn4+CggLk5OTg0qVLyM/Px/r6On77299ibGwMgUAA4XBYuQKALUWAymgsFlOKIhWzgwcPqrq7Tz31lGpjPB5HT0+P4gCOjY3hxIkTKgXMysoKGhsbAQCvv/46pqensby8rPIMvvHGGyr4Q8rGxgYqKyuxe/dutLS0GCN/pcjo6SNHjqCjowNLS0soKirCvn37EAwGsbi4iIKCAuzZsweOs1XGTr43FArhe9/7HnJyclLcw+ksSgoXvAzESBcBJ9EtbmhA5ge2jg6mc2dyfhO18LL4+e2m75TX05CQCc+Z00/+LN2vTHPEPujr60NeXp6xQoJMOKyvTxtSausvKofz8/PGLP425Usm2zW9yzZev+8mnunc09uhB22YAnS83vXSSy8hmUwiPz8fu3fvVn3F3JVsz8202fYzI6htwmwI+nw3GTr87v7+fhWp7vP58MQTT6Qk3JWuWHm/3NclF5auX13plfW2qVDpSBS9Anp+xUAggIaGBjXHZWUZKaYgIwAKoTS5P3NycgBso5HkJ/v9fiN1QVI39Hfb5kw8HnfRD/RSiJnK6uqqEYlsaWlJqXjE9FnsSyrmNKhNHhObocj/S/qETmHxMjD0/Wh6ehqjo6NYXV1FTk4OlpaWFMpJo16fQ3zH20UX+X3lfaMApiNr6wPlOI5S1sjt0hc0r5PCCVVaWupyjwYCAaWE6PeEQiH8+Mc/BrBVF5Vh+6+++irC4TAWFxcxNzeHjo4OLC4uIhaLAQBuu+02TE1NoaysDNHoVlLacDiMy5cvI5lM4urVq9i1axcCgQB2796NgoIC9W7pvpWWPpXAwcFBxONxNDY2YnJyEt/85jcxPz+Pubk53H333Sp6+ciRI3jjjTeQm5uL5557DqdPn0ZdXR2Wl5exuLgIn8+n8gzed999KTw8x3Fw/PhxpdjZSrzRXZxIJBTiODk5icHBQRw+fFihlnl5efjNb36D0tJS/NEf/RHuv/9+BAIBxVuMRqP47ne/i0uXLmHfvn2qn20Kp5fIQ1ZuMHKzkCTggoICZQWOjo6qaGrdvWl7180gJryGc5ubHi337u7ulETYustH5oHjZilTYsgNTKYNoYJF7ldzczOArcOprKwsJbu+5PPpgSi0riUqEwqFlFILbAeO2CKS+R4vF5F+vUx7ko40fjP8p5uNmpX36SgR25EOqbPxJyk8ZBmEISNXKTpd4q2IjrCavl3yD20IOPucKY44v4AtA+O+++6zcttMyBawzfuTe/zo6GhKChGJ4EhOpexjE9ImRVaWyUQSiYSrTr3pW4icM/8phSBGSUkJCgsLXbzLTIXvlK7waDSqSv0BdoSWrl/u78CWy7SrqwsFBQXIzc11ZQiQ65ffxffRYB4dHVUIpwyukNQFXcEk35NBPZyDCwsLKcigbmDItFemucMKYRKp55zQebHvFu4f5T2vAOqWvXTPysPPRmAGtiw1Tn6b5i5dKsBWRY/Lly+jqqpKVeRYXFwEADzwwANKwRkaGnIpJMlkEmtra8jJycHa2hp27dqFyclJ7Ny5E2+88YbiYl27dg1vvPEG8vLyUFFRgZycHLz22mu4/fbbcenSJcRiMRQVFaG8vBwzMzNwHAeFhYUYGRnBY489hurqalegiFSCyHe8fPkyXn75ZZSWlqKkpAQNDQ3o6upSGy9zCubm5iqXyNNPP40zZ85geHgYa2traGtrw/33349PfepT1iCM0tJSV+SvjhICqTzAffv2YWlpCXNzc+jq6kJ7ezs++tGP4uMf/ziArWjaz3zmMwC2k1hfunQJ1dXVyM3Nxf79+zE5OYk9e/agrq7OuChN7hGp1BH1osUNuC1rXQGR84bGiE4HuBllQhL2WbUBcJOha2trFRrB+cvIXF2htCEY3CxZgkzvo2g0mnK4UzHJhA+TDvni36RyI9/Hw9FLkbahTjqhnD97Ifx6+25mU/d6lu39fIe8Nh36q9+r30cPRzQaxd69ezEzM4O+vj5MTk6qa2UbpOJjm6NZWVlGtEkGH8j70iEgJv6jKcWRNCT6+vrUe28GMZZoHvuaifVNoj9TzgEbQizPIuk2lsgVRQ9qsiVN5z2koBQWFipFRPIp+Ty2Ux9Pr3fT0KDhqBuGwHYifL2/OOZy72DQUSQSwblz5wDAVaZRukqXl5fVfZWVlYjH46ipqXFxpwHg2rVrKpm5TGI9PT2t8mhSZI5PPdeqycCwpb1i33EsyZVmHzJ9Eq+T+8zbYVC9HfKeVwD1jZITRF+8esSglMrKyhSejdd7xse3yp1dv35dVeQYGBjACy+8gEQigWvXruFLX/oSNjY2lALFeryrq6tqAl67dg07duxAfn4+NjY2sLq6qlKwfPzjH1fk4O7ubuTn5yMej+N3v/sdsrOzcfDgQczMzGB9fR01NTUq1cOhQ4cwNzcHYGvTm5qaQnFxsRF1Y/LqxsZGBAIBxONxtLe3q3QrvJ48wh07dmBwcBBXr15FYWEhlpeXMT8/j/X1daNSR2Gfs9wdo4r19pAHSL5gf38/7r77bvT09KC0tBTnz5/H7OwsFhcXcfHiRdx5550K+aWiC0DxYgKBAB555BFrKgnTZsbxJeGXEXHAdrSeDdWR+a90t6m0Qm2onP5cSdjXOXaM1tOtWa9qFRwHHcHg2uBhrLtTGYTgOI7avPUAFbZJys1w5vg9FH29ScXQdC83b/17pbDv3ylOjhz7t/p+W5/qyjEDL/r6+hCNRlFTUwOfz4ecnJwUl6ZXO6XIQ9ak3Jrc+RK5MSGtsvYxv09Hi2X+udbWVrUWdG6tiUah/ywVzmQyqdYM83ny22wuVPk7HbXN1NAxBXh5oaHAdv5ML9E5aCb02+T25nkko8X1YKh0SetN3FnHcVBTU+MJrPT397tQRrm3mDIG6M/S0f9IJKI8GQMDA67Smybvg572iiKVY54f8/PzrqhxYIv/LQNoiouLFUJ7M/ku/6fkPa8AmiQQ2C4Lp7skZESX6QCW5WEouqU6MTGBsbExZGVlYf/+/cjLy8Mrr7yCqakprK2t4ezZszhw4ADuvfdehWqxXQ8++CCefPJJBINBHDhwAEVFRdi1axempqbwgQ98QFlZBw4cwPXr1+E4Dp5++mkkEgnU19ernHTLy8u45ZZbcOjQIeU2BaAUyOPHjwOACqqQEolsZVV/4YUXkJ2djd7eXnz6059WlT02NjYUh7C3txd5eXmorq5WrtwXXngBU1NTyM/Px9GjR/HpT3/aiv7JNDLZ2dkpUcUmJfDo0aPIzs7G7OwshoaGsGvXLgSDQVy7dg1TU1MoKirC7OwsfvSjH+Ev//IvXZA/v5tVUW62MLfjOCqVg3RLcvzkZhEMBpVCAaTmv9Jrk5re5XVgpBOZvkGv8MFnst2O47gUICmm6hu29pi+R7rK9O+jcE158etMLjNdMTQdlvLb5LongpqOF2X6lrfqypXfq3+rrpzb3sFgNhtaabrXhobJcnrj4+OucoY6X07vJ72tXt8tkZVoNOqKZtevAVIVEanAymv0/HNSCdXb40Wj4M9UOB3Hca1lfd7ra0j+LNeTzVuUTlgu0sQjNK0bU+LykpISdWbNz89jYmICOTk5ii/J+S+fqXvC+HxdgXOcrYh/IoJyDkl3qBTOU4l+6fuvXJ/AthIObNdvp0jepuRU6wEa8nfRaNS178rUPgzGIW+aymE0GlVKne4K1teCKVqamTjoeeH73mnlD3ifKIC66y4ajaK/v1+l4ZADJdEY0wFs2uj062ZmZjAyMoKNjQ2VauCll15S9RKLi4tRUFAAwF13t66uDvX19aipqcG3v/1t5OTkoL6+Hl/84hfxgx/8AMXFxaivr0d7ezuys7PR09OD69evo6KiAslkEjdu3MCtt96KL33pS3j22Wdx+vRp+P1+V01fPYefDKqQCtfCwoJCL7Ozs1FYWIiWlhZXYuYf/vCH+NWvfoW5uTm0t7ejtrYWXV1dOHz4MEKhEI4ePYrPf/7znsqf7p6Viapt3Dz++8SJE3j99dexsrKCixcvqgCZ69ev4+DBg8jNzUUkEkF7e7tKaM223CznT492BKBy2xGh4N+5KXGD1d8TiUSUkh4IBFRghM/ncyWFNikTzPhP+dnPfqYqmezevRtLS0uqLB8PKomQyEPYK/cX5a2gYbpik8n9PJxNfSX7nQea3MSl5S43ZJMCRQOPlj33BPl8r+9m/2WqnHsRy6XLETAnwbYFVaRDC/m7UCiE0dFR9TzOMybMJmo7MjKCtbW1FFcc33n27FnPftKR60yRSJvoiohUvHVlxfQsL3TZixPJKGBgO2g9wG56AAAgAElEQVRrYmJCRTTL+fVWDTT2rU3In01HO+KzbIbTkSNHEIlE1DNkAIWNI6kbWeTbco+R1BKuQal8ysApE6LL76PoRgzXBX8vswLotBVyP6PRqOJUU/Q1KlPPSMRZV/JNY2oK5DAZV0tLS0rZq62tdSXkBrbW0MzMjEq35qUs/6HkfaEAmgZVuo26u7tVBQ/bIWBLXyCFB3soFMLs7Kxy042OjuILX/gCAGBubg4f/OAHXS5UJj7mc2tra/HlL3/ZpbQ8+uij6t/AFq/N5/Ph2rVrqKqqwu23345gMIjKykocOHAADz74oLKWmLcPgMrlpwdVSIUrOzsbsVgMJSUlyu0r2xuJRPD888/j1VdfxeTkJNbX1/HrX/8aIyMjuHHjBj784Q9jbW1N8TdMCiDfz+TOulvaFgwi7x8cHERubi7a2trQ1dWFa9euKW6J3+9HfX29UqpZ8FzOCZtkouTLqhE2V8z4+LgVRWGuLkq6pKzcICWfpbOzU22C+v3cqHWEBEgtxyUDKvS5rx+UbIc8kPVn2vgyb0VMa3dgYMCF9MjEvXrWfV2BmpiYcCnrTOvBQ1ff6NkGKTfD+Uu3X8jv0yus/L6EcT5bHtDsP3nAzs3NYWFhAUVFRSrNhk57YSogIL2yk47zaeMKyvliq+og205+le3bAW8jwGbocw6QnxaJRJQrj23VzwlKOmSYcyod8t/X12dE9WwGhclwIkonvVzBYFAFgMjgLn6Tvn6oZBMkYZv0vYHPN/FU0xmcevv1PtRdtHp9X6K1gDtxu3xeJLKdyF0ai3Ke2YwGfRzkdwHbAXBnz55Ncd3Lc0fW9/59a2u/XfK+UAApeiSw9NXLPGlvZWA4acvKyrC5uYnr168jEomgsrJSpV356le/ivPnzyv0T4pEFgCkKC319fVIJpOuSh+33HKLup+BLVTU+Bzm7XMcR/2e75FBFVS4NjY28OqrryIej+Oee+7Byy+/jJycHJci5zgODh06hGeffRarq6vYsWMHFhYWcOXKFaytrSnlt7i4GJ2dnQgEAsboX+YA7O3tRWtrq8s966X88f7Gxkb88pe/xPT0tIubGI1GcfHiRRw+fBiDg4M3pYjQJU3F0UtMz1xYWFAbFrBddaOyslKlpohGt0t2Sdcc0SibAprOzaa7QUZHR1Py8lGkW5abs62UF0Vu4hJhYiJXroFMIlpNCMHNulEp0jVjCoiQ635xcVG5wPQ8aaaIPfmtNtEVAC+FT36vLCVWXFyckiZIHjwM8rEFRMgDSSo/bF8oFMLCwoJxb6uoqFDIcXl5OSoqKlSpMrZHoqwTExMp6CWQmmLE9t2c+5KbyfbbFCxpYPH30j1oco2yL0woXSbzi/k7OXfa2trSonL6+/Rvo1fA5JKXVCLpUpV1mCXfWO93+SwaD3rkLg1Pk8Ej28w9ioof55o0NKWwIpZJTPw/KboRyp+5J+pZA2gE6EE1klfKOaajjlL5lwE4pnWrG7s3+12Sr0p5p5A+m7yvFEDAbVnS+k/HxYpEIi73jMmq48KPxWJ488038clPfhIbGxsuRYbcw5GREczOzqK9vV0pGZILJxUtChW5O+64w6W43XbbbThx4gQGBwdTImhNlToAd5CFdD/zvXz+0NAQgK1DU1fk6uvr8fd///dYW1vD6OgoFhYWEAhspbqZn5/H5uZmWleuSfQycDaJxWJ47rnnkJubi9XVVZw8eRJFRUUq0ffCwgKeeuopVym7TJ7JknxPPvkkvva1rxk5giYXBkXWomUUXjAYRGlpKcLhcMoBwcg2ySENBoPGBKeSx0aUmcKDgnnKOjs7FcEaSD2EiQzIb/GKhKfoG6W8h89njVObSGQrU1TJi7/Ijdb2TsfZrqAikYrOzk7XAeiFKGWqrMo+MKGq8nt1FEBPeaEnVpYHode7pRIAbPVxf38/xsfH1b00fiWvqqurSyF/DMCQ0tTUhGAwqNyhci5LY9qkvJmUIrbRxO8zKU98NmVpaSkl0IRJ0PW+oHfGa/wkwk2kjOlGzp8/76pTLGkV8j266B4ClkekO1a2MxaLuaJYAbdLFYAqCWdSavkNbJ/+rRLpI8poEjk2EjlcWlpS46yjn+ncmF4ueSq2VO5kEJqXkqX3AwETr3uYq4+UML7DlNTaNLZegUQ6sEPjGnCj3kVFRcYk8++EvG8UQJO7hcqgLKAugzzkps8Fq7sPgO1FTgXi8uXLuH79uiv1ie5yHRoaQjwex6lTpxAIBDyDH0yKHBU3KnI3btwAAFddXlkTmKloyPmT72E6Fyp4paWlaG9vRzwex+rqKmpra1MUuUhkKyHwP/7jP+I3v/kNwuEw+vr6sGPHDrS1tWHPnj0q4MQrr188HsehQ4fSJoA23Ts8PIza2lqMjo6qnIShUAjf+ta3EI/HsbCwoHIWpns2n8kKIaFQCN/4xjfw1a9+1YUEZkJ2pywtLSESiaC3txeBQMCFopADJNMGzM/Po62tLSXBqekdjuMoUjGQWrN2YmJC/Z2HvETJKJK3yPZ6uWO6urpQXV3tiorUlYl0EYFEkKTS5hWdTDHlD9SVHbnR6pHPElUBthQ++X3JZBLd3d0qlRMT9upIm01ZlagT0RbTAa0HngFbB8nKykoKokEFwNSnN+MiLi8vRzKZdB2yfC5dUjdu3FDokOO4c6NKxdtU7zpd7jtbu4nWmL5FKk+6oplIJFKq77BfTcn2HcdJ6+WRCHdpaakq7djZ2YkHHnjANfa68S9FBjRFo1HXHNORKLYNQEqEKw0EqQCzf+Wz5Hs5lvp5BWx7BVpaWqzrXXoGHMdRa0capHr/mdajif/n5R2wGZ8SoZuYmHDlVeXf+bx4PK740eSy8hrSK+T10gA0oZom0etah0IhheTrUePMr0kh99ZWVeedkPeNAijRk2g0qgibFNOg3Iz7QHLa9uzZg5mZGQwPD8Pv96vnSGSNJW6efvppV/CDLKnG9uqKHP9OpCwWi+Gll17C7OysC/GSSKHMjSSfU1dXp+oEs2ZxfX096uvrcfz4cfzoRz9CKBRCfX29K3iEimYgEEBeXp7iphUWFqZE2pqQN9kf0gWdDqXjvY2NjXjmmWdcbYtGo/je976HwcFB7N69G+vr6yqXk0RHbS7Wuro6nDlzBv39/cjJycHo6Ch6e3tVYXEe7JkcupFIRCXeDgQCLgI25xMR4Wh0u97n2bNnVWofpljJtHyQ3HT9fr8LaeDhxXtk3jMeGg0NDS5kUD98BwYGkEwmUVtbq9CDpaUlRKNR+Hw+5ObmKveVHjUn2ybdYZlawCZ3rL4Z630jN3i57qkgEMmSh67cA7w4maZ+17MJmFAP9qd0f/JwzM3NVQcc85d58UGpXEj0mCjN2tqaUpR+85vfYMeOHSgoKFBVMoqLi9Hc3IyioiKMjo4q+orsa3koU7GemZkxlj30Qnj0tkuliH2mu0TldXLMpQtWH5tQKISJiQkXBUMq7yZOnU30dW5Dh0z7gUlJYBAFAJVFgH8zzX/dpapTAii6N0JG/ut8tOLiYuTl5SmeJwsI6OvdJF6Gs3yHvM5mEHBMZVosRtySlqEruY7juCLUdeTcxFek8cT+1L9DIppsJ99p+17d0JH7RWdnpysDhMwwIF3XNuT1nZD3jQJIMW3APBzToTuAPQ0EOXI7d+5Ef38/SkpK0NjY6HqeRNYAKPSK0cihUEiVVJPws5eiFIvF8P3vfx8vvvgikskk7rnnHpeSKJFCYKvWJxVCIn9ULnVUsqenR7lYT5w4oZS/xx57DIlEQiGdjCy888478ad/+qeqbTqyqPevzOtHnmQmQvdvTk4OVlZWcOLECZVTMScnR+X8a2howEc+8hE88MADALbQ0cbGRuUu19/n9/vx4Q9/GBcvXoTf78fOnTuxuLiIeDzuCsDJROhye/zxxxWHkqkYDhw44Eo5AGxxUPv7+wFARYqzj2yWN2BPWCwRBBMiJq1oye0x1QmWhzXg5tUQcSH/kAqnF3GaG7VMsKqLjibwvVy7kUjkplAnACoIhD/z2ZmgK1JMnD+iJex3IhCmtFHsD909yHVJ3pnkk8oDsqCgQB2GPNhlrjwZBCQVJh5KRHVo9O3Zs8dVl5Zjx0NTRp5TYQS2y7bxe0z9I/tJ3y8TiYTKT2qr8kLjxMTHIl+2v78/RRFZXV1FRUUFmpubXXPMy8tjy5Upv1P/Nj3q3HFS82jqSgKDARzHwYULF4xKCIED9i3PKlNOOlugC+kRUvLz81XqEwaJeZ17Jg6xNFxNRk86Q5ltvXbtmprHejqWTHn4kUgEr7zyiks5ZKlJ5icdGBhQNAfZV2VlZcoY8kLlbIFynEcmI1Qm6delqKgoI13jDyHvaQUwHW+HG4NUCG2DwkkvF6V+MFMxGRsbQ3FxMZ566ik89NBD2NjYUNfW19f/P+y9a3Bb13UG+gEgCQIkSJAASREQX+JTlk0xkqg4kce2yEqxGz9UZ9wmNzN5eKaZdiZ37HTauW2naZ2mP3JnMp3cZNLeZu44GWeaOlFqy47jOFZJya9IIiWZL9EkARIgIYAEiQOAIAgQfOH+YNfmOhvngHTjOmncNaMRCR6cs88+++y99re+9S089thj6O/vFzV0Cc371re+pSqpxrOE5ZAv3d/ly5dx7do1AMD8/LyoBiJLnlAbHn/8cbz00ksoKSkRE0Q+VJKHWDc3NzE8PIyRkRG0trbiV7/6FQKBAEpLS4WuFDlPJpNJhSySZMt7cfT0wiuEiMrhX66pWFVVhaeeekosYsTt++EPfwiXy6UKgfNF/NFHH8XU1BSCwSDa2tqwurqK5557Tkw0DzzwgC5/iC8o2WwW3d3dQoy5sbFRcE1pMZXDQlw7aj8TYL5wbSqVUmX88RCiPOHxxVPLqLh5NBoVBdkzmQyi0SjW1tZUiIbeIiU7EcFgEB6PBwaDAS6XKyesQ/cho0S04JKzKS/YMjGcT9ZOp1NU4yHj7/F7WXjIONpTVlamSsLZK8zjcDhyUBDiiFEJRSrfdenSJRGSpOfOnV6tZ0iLGxnP5B0cHERPTw/6+/uFgzUyMqKSNOKyOwaDAdlsFtFoFJWVlQB2Qm7xeFzTuZXHphzGpf6SK+rIoUXOkyRHiTtsiURC8G4nJycxMjKCxx9/XDx3vSiOVrtI6obGFkex5XvjKCn1EaG2dC1qIzda/KmPrVbrvpwQILcut17fdnd3q5Az/j/nF1Mb+brHN1v8uloood6mh/PrAO0NAc2RHH2Xk7eoPT6fD+FwWCRuUb8SJcPlcok6ycAub5Lfg966zTdIek4Z+QoysirTyrhDzRNS4vG4SOCiz6lqyP9yAP8bba+Xnw8Sesj5zjU4OKj7sDweD0ZGRjA1NYWKigoUFBRgaGgIL730EkpLS1WOT0tLC0wmk6ih+/zzz4sSZVRSTeasyckRfMLPZrMoLCyE0+lEe3t7Ttk1k8kknMeZmRlcuXIFZWVlQvtP5vtRxQySZGlubhboVyAQQDQaxZtvvgmLxQKr1YpwOAyXy4Wuri4hFD0wMKBCFm/cuIFkMom5uTl84QtfEGgicRsVRRHh50gkInQOZaRORkSpbXQMT2qhwuIDAwOYnp7GxsYGQqEQqqqqRKidUEp+jmPHjomJ/q233sL29jbOnj2LRCKBiYkJ/P7v/37OOOAOCwBVWIsQPb4jlCU/iGwO7OqPyZODPJFqhan4ZKSVPac1ydLvevwaqhrhdDpx/vx5scA6HA6Mjo6KBTORSMDn86mSKWiSpHMAwKuvvip2+7Rz58kITucuKZz6ikJ5WokJPJtP752ne7JarTmbOW7ckZeda62wn4z2aAkc6xlHdmjcEF9LTjLgphU2VBRFLDZ07VQqJVAKh8Oh0kJbWVlBJBJRhcZIAzXfnEkit5wPqWX5NtPk7NCz6+zszHFCtHiSAHKQNU5r4KbFj6P/5U0bGXeQqZ17ZfrKjgt/z3hSCRnRSWQj3pjcZr4meTwe1NTU6I5RQK2NyPuGjl1bWxOf6Tlm7e3teccAbxff9FA5OPqczyP0HYoUEEpLTjYvmaYV1aBzBYNBkVjHQ6kk2Ox0OnHXXXeJTSuZjOzL44s2E+/FGZPnB0Ls6Z0m9J4S82ie4kj9b9p+px1A2eQwAbDz4umVgtF7uWSjh9rT04Px8XGxu2lra0M0GhWfccSJNOwaGxuFw1VdXZ1XA4/awzl4vb29CAQCGBgYQG1tLR5++GFV0gJ3sl5//XWMjo4iHo+jvr4ewA5P79ChQ+jt7cWzzz4rOHWyJAsllcTjcXz0ox/FW2+9BYvFImoPHz58GA8//HBOJvH09DSWl5fh9/thNpvR39+Puro6HD16FDMzMznh5xMnTiAajSIQCOhm8OohovQ37jhzh9Hr9cLlcqGwsBDNzc1oa2vDxYsXEQzuCFHff//9uHHjBm7duoXJyUlkMhmYzWaEQiGxs+7o6NCdJHiYkyYnt9uNUCgk/hExWFEU9Pf3C6THYDCgtbVVTPJa4++9TE578Z30Qsf5CPJOpxMWi0X1PR56oQWZZ07L3Nv29nYhr8ERt8nJScGVcrvdCIfDqveSkBa32y0QQ5rg9ZA7CumFQiHVM7l8+TKy2awoG6Z1n7IDw3/n2cjUdrkd+ULI+dAxGQXiSBb9PDs7q0J5aF5rbW1VOU90b7QgEecxEokItJEc98nJSV3nhJscmuVt3C+aISe1yE4K/XM4HKrQG3cqtFBfrcQQMuoD7jzzTRuFo3nInTYLWlEIjrTL6wc57zTeuW1vb6uuryg7VVFoAyhHmei4YDAoatLzdstt00II+bHFxcUAdstS0r3rIZbyfdP1tDY98uda76TX60UqlYLD4YDf7xcJVwcPHhTt3I9jJOuhkv5rLBZTOXeAduImjS9+PRkF1Iog6lE6FEVRIdHkqHLjIuNyAthvCgX80DiAsufNFzwZKSHjcDi9GFoPjaOHhw8fRl1dHQwGA0pKSjAwMICNjQ14vV4VqscdpObm5n1r4Hm9XhFaHRsbwxNPPIFz585hYmIC5eXluHHjhhB+5uHSwsJC/PKXv0QqlYLBYMDc3JzY8Q8PDyMQCKg4dbJwNAAV8nbPPfegpKQE8XgcR44cwYMPPqhyPDm/j6DvbDYrHKCKioqcpJh4PI6f/exnqK6uxvr6Ou6//37dDN58cjHyy8QdRuIANjc3i1BvWVkZrly5gvHxcRQUFEBRFIRCISSTSTQ3N8PlcuHw4cO477770NjYqBofehQDHoY4ffq0qj2Tkzv1dbUWeqvVqtJ1y7f40PdkYVRqA89GpM/0+kjLtK7PHRx6P/TCLdz4O0ScKlrY+a6fc+B4IXtyKsl5HBwcFKiBXlYg9QlHZSjkCSDH+cvnNPNFkh/H+55vMLWeG30m89zovJzITv1B/c0XZp5tyJ1m3gd0vJwkQceQFp3W4kimxXduaGgQf5frPufjU/JNAP87X1C1ECuZp03IGn8eNLaamppEPVYtczpzCfjy5odC4TU1NcLZ4m2Qv6OFtHOKkZ7ROQh50isPpoc2AhCagNwB5rxRLpxM1BhykPlzz1flRXaitTZH+RBF+V6y2axAuRVF0U10ku+LHEUAOQlmcju0no3W+KZIAx+zMudUTtqj8SebrDSgKAomJydVta6JXkEbkd+GTOAPjQPIX8j9EjDpYQFq9I8I/HxCW15exo9//GNEo1E4HA585jOfgclkwoULFwQ0zpM7KioqcObMGcTjcV2HSzav14vnn38ekUgENTU1GBkZESFmu92OxsbGnCzikydPYmxsDCMjIygvL0d1dTVmZ2dhtVrR0tKCX/ziF/B4PMJRWVxcxNTUVE44iNosJ5X09fUhmUzC7/fnZPxWVFSISYbqBpPgMx1H4efl5WWhu2U0GmEymVQZvPkcPb2wDv+ZI4N0bw6HA+Pj43j11VcRCoVUCEhbWxsURYHJZMI999yDBx98EJFIBM3Nzarr50PO8i0CWs4GKdPrTbT8mhxRowlMRg84esT/z2d8EtfLsiX0gHbZxNGhEDLxXQiNoLCIxWJRtdVoNCISieDq1asAgLW1NWSzWcExvHTpEkpLS8Xkb7PZVFpu5AzqoQ38fmXCNg/9kGRDKpVCOp0WJHJCbOXQs7zoE6qUr3/lsDGwG77miwQliMkOkZbRIqgVUpKdAzqeQnCUDU30C7m/tPjORFVwu90oKysTnE69jPH9IDl6Tnc+bjZvFyHzWn0lhx2DwSBCoRBefvllWK3WnIgPnZN4h3rC6OQAOJ25NXg5v4/6gevv0WfAjgOdTCbh8/nExlKWHOL3AEDIFFECg9z+lZUVsXHiFXKy2ax41vRexmIxOJ1OzSovWmukFjqot6nUcwbj8bh4HhaLBR6PR7d/yAGljRvx/ORxRRtKQvnJmSYhfJLc0lob5DrnnHNKY4oDQU6nE6Ojozh9+nTOu8X7iaILhCrKnEq/3/8bLQFH9jvvABKJlDtwIyMjgsfCB6pWhhcfbLQD45MNDZBr165ha2sL7e3t8Pv9GB4eBrCzSFVVVWF7e1vlWFHCiKIoqqQPvQERi8XQ39+PSCQizl9YWIhoNIp7770XiqLA6/Uik8nkOJpPPPEE+vr6MDk5iTfeeAOFhYUipJtMJnHy5ElEo9E9HS46HyWVmEwmTExM4Nq1a8hmswgEAoLfB0Bo6jmdTnzhC1/QzPal2sbBYBAbGxtwOp0CVTh16hQeeeSRvEkjPBwOQPNnWVib/t/a2kJlZSWMRiNcLhfMZjOAncnS7Xbj6NGjqK+vx7333itCxfsVlc63K5aRFZoQaaNAu/V84RjZsdRaxOnzvSYZrbATsH9tNxnJ5MklXJeM0BdyGHw+nyqUwzOXaZff3r4jPhyPx7GysgKr1Sr6ZT/agWTJZFL0hcvlEll68gJA7ZNDUXr8STmcqWdy2JiHr8PhsEgE0QtzymL19D1yumUZFY6Q6EU7gF1+kmw8dM/HBs8sl0WK5fuVTQvN0nKY+Pf5JkoLjSIuI92/XC5MljoCdjVd9agDWpt+Mp4RSg4qjSWt/pbPL39G0ll6SSD8fNzZJadIlnohHnEkos6Sp0pRly5dEs7K0NAQAoEADAZDTr/LDgtpCPIkJ70qQ9RuMp4AZjabEQ6HEY/HYTAYUFtbK9qj9d7l493zPqRr8vFJ6D+1QQ6/y5tpmXPK+4JQO+pbMq35cXJSXapSa0yEQqHfuPMHfAgcQLnzAejW4ZPDFMRDUpSdLE4i58uTm9PpREdHB9bW1kRm77Fjx2C32+H3++H1elFYWCgcMx6a1Uv64MaPP3DgAObm5mA0GnH33XcjHo+LLNixsTHdLOKjR48CAMbHx1FXV4eZmRnY7XZEo1F4vV589KMfRUdHhwqd0zPK8E0mk/B4PMIZvHLlCurr63HfffdhZWUF3/72t1FcXCycpvvuu0/z3CdOnBBZhsCOYCZl8GoJSFMfcX7j+Pg4gJ0dJv85n8PmdDrxyCOPYG5uDteuXUMmk0FjYyM+/elPizHQ2NgoQsVcP/HQoUOqouL7mQj1PiOHx+VyIZVKid06oB/ukCkJPOuMOwqyY6BlWgR8Mnm88wVwr/MT2koOLvWRz+dDLBYTO3Q6TygUUpVGo+vRTrqsrEwggJx/RuieVt/SOUpLS9He3i4WB5nwL/dHPpPRf2qH3A97oW/c5ExX+o7WeT0ej8oRmJzcqShDVRB4GEoOX/J7UBQlpwKSjPzIGwjSA6TFMt818hlPPuEODkdStLjZ9B165qRDSeOByi3ScfQ/zfly0obW5of+1+LTKYqicgydTqdQRdC7/72oHOTAK4qi4s/K3yHZG3rnSMeOC5fH43EhF1RbW6vqN0rQoveQsq6588IRdnLGqB3kRO6Xp0dWUVGBeDwuQuo09mkTIzuxvI9ojuCOvVaCFn0vFAqJvuQRB3LS6bt8TqMxqMU5HRwchN/vF+v2ysoKVlZWRJSjvLwcx48fV92vXq1ro9EolAzylTH8IM309NNP/0Yu/L3vfe/pL33pSx/Y9SKRCLxeL8LhsJj8aNCQ4j/9TAPi9u3b6OnpQUFBATKZDEpLS2E2m4WuG/++2WzGwYMH8fbbb6O4uBiBQABNTU3w+Xy4efMmKioqkEwmcejQIQFtBwIBzM/Pw+124+zZsyIMxdtD56fjA4EAOjo6cODAAWxsbMDtduP48eMIBoO4ffs2mpqaMD8/D6PRCLvdLs7lcDhQW1uLhYUFMek7nU585CMfQXd3N/7oj/4IDQ0Ne/I4eLm0bDaLoqIi3Lp1CxsbGygoKMCnPvUpbG9v49vf/jbGxsaQzWaxubkJs9ksHBz5HmOxGDweDz7+8Y/j4MGDeOCBB9Dc3JzTD7FYDNevX4fD4cDq6iquX7+O8fFxlJeXY3h4GAsLC6iursatW7ewsLCAhoYGLC0t5fQFN4vFArfbjdLSUiSTSRQXF2NtbQ3z8/OYn5/H6uoqTp48iaWlJfGsTp48Ca/XC4djp3rD9evXUVdXp0qQyDcOeTtu3bqFZDKJSCQCt9uNtbU1pNNp3H333SgoKBAhdKvVikgkgkAgAEVRYDabkclkMDc3h5mZGbFY8ZAmnRMA0um0GEtyG/giT5/X19fD5/Ohs7NTVP0gDTGqKevz+dDR0YH6+vqcd4iuYTabsb29jbKyMiSTSZSXl2NpaUk4htFoFBMTEygqKsLa2hpWV1cxMzODTCYDm80Gr9eLSCSCubk5FBYWik0COVSdnZ1wu92wWq2i1B7v60AgAK/Xi/X1dayvrws0w2w2q4TgedvT6TQcDoe4DxqvdI8kRxEOh2E2m1VyK/JxNJcQ2b+pqQnZbFZUNVhfX0dhYaHgBW5sbODEiRPiO7QA8/5dXl4Wzhcdl81mUV9fr7qe1nd522KxGLLZrMphHRkZwfr6uhgXHo8HlZWVqnmEHPt0Oq15DWAHcc23qPhy/6YAACAASURBVJnNZs3v0Pmo9F1TU5OqhrGiKPD5fAKNKiwsFG1vampCQUEB6uvrNZFvep78ucvHye8YzfNUinNychLpdBrxeBzhcBiRSATxeBxtbW059xiLxcS8Lfe9PDbI8WttbUUgEEA6nc5pFyHFNPZJuLyrqwttbW3iufX09CCbzYqkBB7GLCgoQEFBgeA+E/Jls9mEdBSdJxgMIhKJCD70ysoKwuGwoHdozafUVnnM0TMcHx/HHXfcgXQ6jUwmg0gkInjXdGwqlRJ9sLm5KRzfpqYmtLa2aq6PdJ8+nw89PT2oqalBNBpFU1MT0uk0gsEgLBYLhoaGBAKZzWZV1+XtjMViuH37NqqqqkS43e/3o6SkBBsbG2JsxONx3HHHHarxVVdXl/MeAjtou81mw/b2tqj6pPXu/HfY1772tfmnn376e/Lnv/MIIJnTuVMPlGDc/RBPFUVRZYURzK+3A6LM3urqagwODuL69evwer2IxWIwm80oLi5WIX0yn+7y5csAoInCEWcwHA7j3LlzsNvtqoQRh8ORt6oG7XyeeOIJVTIEZfjmQ9r47okjkT6fD8vLy7Db7QL5/Id/+Ac89NBDQpB5fn4eDocDzc3NMJlM6OvrU90jR/HcbreqPjJvh1Y5PJ6U0tXVBWAH9eM/71VhJBaLYXh4WFSy2NzcxMDAAIqKinD06FEEg0FMTU2hp6cH09PTqszh/SKN/D7kBYfCNEajUYRjaIzJUiB7hfMA9bimz+WxyhEi+ViOIMpIh2xUl5SbVoiFEKJgMIh4PC7CVCT+Snwsq9WqypzjenF0PSojR7/vxeflUjKcL6dVz5Tv/mnh52LK8n3SPLBf3UYyTjAnp4uyGPcyOobarhWR0DuPjEzKIS+evEQhUy7WzbmKPDTLr7sXKiq3Ratf8rWfo1GcE8bDdrxv5Otr1fbm7efvGufDEY2IxtD8/DwymYzgDcuSHwBU6Cp/H/i1OKJHY5IcMr17p/tyuVyqqBVVE6K28DAtoYyEhNJ9EBgho56kRkDtosQirWiEbHJEgR9LP9P7IiOA9J3/qvHqHtFoFJcuXQKws9HnAuaBQEDznSW+4Pb2tupdsNlsOHz4MGw2G6amptDe3g63241f/epXIkFE6955n9D/9Lz/FwH8ABFAYHcnAugT4mk34Xa7kUqlcM8992B9fR1VVVVoa2sTE6LW7tLhcMDr9eLll19GKBRCNBpFeXk5NjY2EIvFUFVVhYceeggHDx4UYUO73Q6j0Ygf/OAHeOGFFzA8PIzl5WV0dHSoEKVYLIbnnnsON2/eRDKZRFdXFw4cOCAGnsViwaFDh2A0GnH27NmcWsKEnFVUVMBut8PtdsNutwukgxs/fmFhAf/+7/8Ol8slXohAICCqlmxvb2NjYwO3b98WmlBVVVUoLi5GcXExSkpK8Bd/8ReorKzMuceqqiqMjY1hfHxcOIuU0EIIxeXLl1FUVJRznNFoxIEDB3DnnXfCaDTik5/8JLq6unJ+Pn78uNjxyztTjmaurq7C6/Vibm4OxcXFOHLkiCgXePbsWbjdbmSzWXi93hzUsaGhAV6vF1arVbSdrkX/EzpFEwGhDMCuKCqvr9vZ2Sn4otzofPIYJIRPPp6QBH7viqLookU0afFdMrCbQRqJRMTuNxwOq0JK3Hw+n+DdAcD09DRCoRBWV1eFALDf70dtbS2y2SzC4TAKCwuxvr4uSnrxyiKRSASdnZ2oqKiA2WxGe3u7WKzkviTEZnh4GLdv3xa6Y+TQEirA0Su+++f9EQqFYDabNecLzpPTQhNl4wgQ/R8IBETYMhAICHkm+Tv8d7fbLdAOikhwtIp0OfWQhVQqhfr6eoH0OBwOpNNpMYbS6bRoUzgcFkiFlrOtFz3RQyD30z+BQCBnXpIR8JWVFayvrwtnic/beyGgHBnmmb7hcBhut1v1rtL33W43bDYbwuEw0uk0bDYbjh07BofDgZmZGTz66KMqTjlFnDiaRj/z+YBvfkZGRrC2tgYA4j2g943ugc47Pz+PmpoaJJNJgViTlAqtWZRt6/P5MDc3h0Qigc3NTfh8PqRSKWQyGWxvb4v2KIoipK+CwSAymQxcLpdwFmluIPkYQjhlo3eRpIY4opzNZnH79m2Bxq+trSESiYh1WUZHKVtWay4k4+OisLBQIPJbW1v45Cc/iZqaGng8HlgsFpSXlwtwJ5VKqa5L5+KbVqfTifX1dcEP7+7uxujoKEpLS+H3+5HJZGAymRAOh7G5uSnmS+pTGsc+n0/F86VI5Afl/H2oEUB5Z0q7xL06n/NRKDsP0M9wIiTNaDSio6NDLHik5v8nf/InaGlpgdfrVZUW6+/vx9DQEAwGAwwGA4aGhtDf34/77rtPTLyXL1/Gq6++imQyiVdffRV1dXW4//77VdfXkkbhsjGEUvHJXJ7UySmanp7G9evXMTw8LFCKr3/962hqalJJqly8eBHXr1+HwWDAwsICampq8Oijj6KhoQF9fX1YXV2Foii4efNmzj3W19fj6NGjQg6nurpaVW/4Bz/4AYaGhjA3N4dz587pIpz8nvnPvBQdoE4K4WgmOXNGoxGHDx9GSUkJ2tvbYTAYVEkrxPORUUe/349AIICioiKBVtK1aNxRthvX8ZLRZDkbLp/TsR9JF/55vrq5AFQoAjmYtOsn7g+NF147OBAIYHt7W7UD5vdAEhTZbBYulwuKspMBRxM6oSWE9skyTLx/OLrIf+fICJckIYkJLdmdfDy/RCIhOD4cvbTZbDnJGFoZ2PsxfiwvNaZ3jJbpJenkyx6WEyJkDifNi7RI0vmA3MSOfNf4dU0LNeIoGCVw7HcB1cpqlqVyOJIO5M7z5GCSI0jfGxkZUc2n1G9U8YY45EAux43fE48w8XbRsfR92viEw+EcRI47amS84gqww59NJpNoaGjIQSapVB2997y/CA3jkQet+6Y+ob6SeYb8Zz2EnUyrhq9sMjoqn4/azvmLWhneHI2lviTkm5LQKMGDNurRaFScl+YFqvJBlbUURVH5EqFQKK/8zQdpHwoHUC90tpfRBCBn+mmhMk6nEyaTSZDZiat3//334/r163C5XBgYGAAAPPPMM6rkiJ6eHszNzYnwKFXU4I5cMplEKBTC5uampmo8bxtNAPF4HP/2b/8mdvOUwEDh4mPHjqnq4pJTRKLMN27cQCwWE4P5/Pnz+IM/+AO0traKMDavbRyPx3HgwAGEw2GUlpbi3XffxcrKCm7evIkvfvGL6Orq0rxHk8mEUCikckYuX76Mvr4+GAwG9PX1oa6uToRhtaqDyD9T1jQP1S4sLIg+B6AZQqbKJ729vZqhcVkKZ3Z2Fn/2Z3+GdDqNr3/96yIzmnQaW1pa0NHRIUo+cWcK2J2wCdUgfs9eG5T9hNT453rOQiSyI8dC4U7u/BECys9DiyDPBOXn0roGT4AAdhJreJIHHaPVdu4s57tPMjm8KUvSkHFpCC1NPgoV0kKmNVnvV+oE0E+0oX4JBAK6siR6xt8XPXFqeQzJz49QIvkY+t3r9YrPiRQvOx1aiSN7cYlley/hY2qL3G5ulKgjbxr4z8Rpo9J7q6urquxs+RrUz2QUai0pKVHpx/F3gJJ1qE2cO06hRcpE586fVt9Qn1KkhRBb+b75sfQsybnhYU0SBuf0j9nZWbz88suCo0ebwpqaGs3wuSyB5HQ6VfIzFNbmG2B+zb0sX8iemyxNRdQIoi8RL0+rf3k5Rr4xqqurw/b2tuBdkhGnMJVKobCwECMjI0ilUmhvb0c8HhfPhVc5AnbVEoiO8ttgHwoH8NcxvWwensVHg+r111/H1NQU6uvrkUwmsbGxgYGBAcTjcdhsNty4cQO//OUvsbS0JHb9hPR94QtfQF1dHVZXVzWlT0pLS+FyubC6uoqSkhLx8pJxrtzly5eRTCYRDAZx69YtbG9vI5PJ4MiRI6ipqcE//dM/QVEUPPfcc2hqalIhg21tbfjhD38oMjJLS0sRCoVQX1+Pxx9/PCfDjtc2JoJvc3Mz3n77bdy6dQubm5uIRqN45pln8PnPf17cNzlYsVgMFy5cwJUrV3Djxg3cvn0bDzzwAAAItJDMbrfn1UnkfcHRvaGhIWQyGTgcDty6dQuVlZUC3ZN5mFr1luVFhpDWSCSC1157Del0Gtvb25iZmcFXv/pVtLS0iJCezWYTyBc5Pvx85HwBu+XjZHkNvczcvXSk9BZVvojJfFZy6ug4ClNw45mgPDsPyNWSUxRF6OlRW6LRqKAgcGdNy/HVcoTyLfoySlRWVqa5iPBEKOoDzvniXJ39ZFK/FwRQb0MqO5R76QBy50aWs9HiVfGxQI4xOQxyf5NZLBaVQ6OF1siIrPzzfkzuk70c670WUEIztRxTzgulurgAcrTmtJBMelaXLl0SAu96XFveVo600bPQ2lxpOc/8ufG2NzY26nJTtd5Dm80mxjC913Q9QrCqqqqEPiRtmnh9aIPBoMrOpixdyqCljaxchYO/O/SO54tIvNfxQ9Jhsjg5nZfWa61xIx/f3r5TpYirPCiKogKO6Pif/vSn6OnpweDgoEjuoGvQvcuWL5z9Qdu+HECDwfAAgP8HgAnA/5fNZr+hc1w3gKsA/iibzf70fWvl+2i/judNCwoPB5MRGjY3N4f+/n4hZuxyuWC32xEIBFBVVQWn0wmz2Sz4bslkEiaTCRUVFejq6hL6gWS0sPT29mJiYgLvvvsuTpw4oUoUoZBjW1sbLly4gFdffVVwHIjrY7PZUFNTg3/+539GX18fstksjEYjnE6nEI8+dOgQZmZmhHZhYWEhGhoaMDQ0hIceekh3N0ZJGw0NDTh58iTi8TguX76M6elpJBI7xdqLi4sRiURw9OhRIVcxPDyMpaUlDA0NoaioCBsbG7h06RJSqRR+7/d+Dz09Pbh+/ToOHz68L3ka/iw4utfW1obh4WGhQ2ez2WAymaAoO+X59ELIPJSrVZaPnsurr74Kv9+P6upqdHR0iMxQp9OJhYUFEQogxIE7b3wjISNq8rXoGFmLMl8/6IVH8xmfnGUHEVBPphQS0gqf0fU52kRom9ZiqYXM66Htesbb4ff7NR3YvUwOEeo52vy8WrxgPXRxr0VOS6piP23e6+9ymIzuiy/E8nm0pFC0nkE+isGvs9jxa8lh3L2+o6W9SGiWnOyTj8vGHW36mbLs+QZGvmet50wheGB3wydTP+i6sVhMhWoRYgjsbqIIkZXln7SSuoxGo6oSCiVIdHV1qRxLWfuWjx26P54Uw9vME0xk6ga3fHMT72et9yqfybJGWtcF9i6VySNsMmrIx0plZaXqb1S2UjbaNJMP8duQAALswwE0GAwmAN8FcAbAbQCDBoPhpWw2O65x3P8N4Jf/HQ19v+y9Lij8xaCFi7gPFDbjD5Tq4V65cgUAsLq6KhYhEmQOh8Ow2Wyor6/HzMwMzp8/jzNnzoiQJTkmgFrYuKOjA3V1dSqEkHP2nnvuOaytrcFkMqGgoEDIi6RSKZSXl+PChQuIRCLY2toSsi2Li4toaWkRTo7T6RScvAMHDmB9fR2bm5t49tln0dDQIEKlvP9MJpMoaacoCr7zne9gdnYWTqdTkGJramrENXw+H7797W8DADKZjMjKWlhYwNbWliAIf/azn8XS0pIgN78X29raEqXoKMlgcXER0WgUr732Gh555BEEg0GBwMrjQyvreGtrK2esHD9+HP/4j/+Iv//7v0ddXR2OHDmCM2fO4MaNGwgEAvB4PCgpKUFXV5duKJHb+xEa0ON3ctPKmnyvpGSn0ym0MXnIlQvEyos2LbYyIrUflA3IvyBwhOXq1atC4ocWKwrp0H1rlczi4SCayLUQLq3ftdojo4tkJHDLnzf1C4UT5UoPWqgOGV/wKbwtG38WsuCv7JxyLiehhQaDAS6XS+WI8PA+r0yi9xz1HDpueo71fpwBevatra26lU94VisPy8pac/mMV0qSHR5+bzLPz+l0ir7j9Wp5WzgKDew6isDuZoQcFL6ZomtxBJM7m6WlpYKPTqL/1NdypCuRSMBoNOrWFg6Hw0KyRUuEm0wOxdNneqbHzdUaK1rvAEV99CJ3Wu8/jzJRdSJat/K12ePxCBFtrh0YDodF31H7tre3BXVrP5nUH5TtBwE8CcCbzWZnAMBgMDwH4FEA49Jx/yeAfwfwmy9wt4fJ3BC9xZIXDjcYDDkEUW78JbTZbCguLobRaERxcbGQN2loaEBDQ4M458zMDA4cOIDp6WnE43ERJgwGg+jr68Ps7CwSiYRKboTvXHiok0q8FRcXY2trC+Xl5aioqMDGxgYcDgfuuecezM3NYWJiQmTQHT9+HL29vfjMZz6jEo3mjtMbb7yBW7duIRKJ4Ctf+Qq++c1vCuFLCjcHAgHE43GMjY2hoaEBZrMZlZWVmJmZwaFDh9DW1obHHnsMFRUV8Hq9+M53voN33nlHZFA1NjbC4XAIHbjbt2+LyiSFhYUYHR1FLBZTVRnJZxy5u++++xCPx/Hmm2+K1P6lpSWMjY3hyJEjyGazMJlMOeODh5DpechJIWRdXV3467/+ayiKImR1DAYD5ufnsb6+jsHBQVHIPZ/tNSlwrhf/X0aoaEzrhfb4YkSkb34NWvDJOAeIh7Booqf3ghJIeHvkpBV+jxwB6OzsFKWpfh2jtqXTaXR2dqoWJxlt1Qq98nkgX51cfi1+Tvke9YwT7MnoZy3RYtn0EJTJyUlBMpeNUDrOxQLUpe3ktlA/ceeC2heJRDA6OioytAF1zWetPuBjks+vWtfey7TmbKdzt7TZ5OSkisvJHS7u1MuhyUQiIRwnymS1WCwoKSkR3K+amhrV85bRWvkd5GOFyxpR3xOiL7eLV9HgwtuKogiOmVbfajmQbrdbUE4oBM05toSa8hAmRzaNRqNqbHd2dgoJI2BnU0P9ztHPvaIVfENIoWd5c6b1LvINH684xM+rFcGgZ01jniqq0OaPOH28DdS/PJwfj8dVNACe2LK9vZ0zv0xOTqo2lf9THEA3gAD7/TaAj/IDDAaDG8AfAOhBHgfQYDB8CcCXAOTIHXyQptX5Wp+RzpiiKKJcD6BeGOTQl9PpxLFjx/DCCy+I0l6f+9zncOjQIYEolZWV4bHHHkMmk0EwGERzczPOnDkj9OV4BiVx2ADg6NGjWF5eVmUInzx5EuPj48JBqa2txf3334/S0lIcP34cb7zxBqLRKBYWFpDJZOB07oQlNzY2EI/HxaJASSBOpxMVFRW47777MDo6KsRAq6qqsLm5ib6+PpSVlcFgMODFF1/EyMgIFGWnjjBNggSDG41GbGxsYHV1FRcvXhRJHABQWFiIQCAAu92O27dvo6KiAktLS1haWsLGxgaqq6sB7PD+tra2cjKj9UwLuWtpacFTTz2Fr33taxgeHkZFRYVw0EdHRxGNRnM0/Khfh4aG0NbWJpxcQmdlJ/DEiROIRCLi82PHjuHHP/4xhoaGYDabUVtbizNnzqi+sx80RDY+aenVQN2P6YUs5QWRTM6qo8+0+Dxatlfozuncragg23txtKj9iURCtShr6f6R8ePkUCYPEepdi9rEnUg53COji/J90LV43VpFUXIQ1f08az30Kl/W8F5G/SI7BRThAJATxsvXPqfTqRkqk7+vhdQCal6d/B2OSpODxdHffFQIrfHPETmuOcjHBOnL6pnWWNF6b+SxyfXoiE5AY5s2XDTOaBxr8Yp5eyORCLq6ulTcNzLiKPNxRscQz402WEQzokQLWi/pfrVMDvGS0din9lJyjBxK1nP6eWLTfqkusnGAhaR/gNySgdS3euOX2k1Gm3WeYETh89+0E7gfB9Cg8VlW+v1bAP6vbDa7xeHUnC9ls98D8D0AOHHihHyOD8y0MuZ4Zo68AABQDcZEIqFaKDh5HdgRhOY8Or/fD7/fLwSUFxYWVOLCFBqVExKi0WiOyHFBQYEKtdra2kJdXR0cjh0R13feeQetra04deoUmpqaBN9tYGAATqcT//Iv/4KJiQkUFxdjfX0dgUAAL774Ih577DFMTU3B4XDgxIkTMJlMWF9fx5NPPom/+7u/w+bmJhoaGkQo9PnnnxdSG7yOMLV1YmJClJwzGo2Ynp5GQ0MDmpubceTIEaTTafj9fmxsbIjdqNVqxYEDB7C2tiYQM7PZjK2tLc3MaNkikQhef/31nLJtVLt4fX0dqVRKhFCmpqaE2DM5lyaTSfApAWBzcxNzc3MoLy9XZVJrle3ji9HNmzdhNBpRVVUFs9mMiYkJvP3227Db7ZohLXkx2ws9oeP4z7IDAexIDlDCED+/HLahcbzfCUlGcijTtqysDFevXhX6Zvvhu/BFT2+Cp//zZUfLjoff74fFYkFNTY0quUa+JjfuJOnViqVr8bbJ7eebw/04RloOgixVoefsJ5NJFWq7srKC/v7+vLI1XFA7X0iOZ57KAsLkCFD/ylw2vdDbyMiIyDLXSqyT+0IvSUavLykLk4cvSapIUZScjQ79zmkLstG1+N/4O0DVKrTewXwCyrJwtRZ6St8jJ5NKo7W2tsLj8ajC8fK7Njk5qco0pnZzR5abXMaMl5jUspqaGsTjcUE1IiSOZ9/zTRC1kxs9C8oe5igej7rpIYF0v/Jz0+N2yvdps9lEybfGxkbBt+TzBfF5AWhu0Ch0LG9UE4kEFhcXBQ1hcXERNpsNFotF+BC/SUdwPw7gbQBcqOoggJB0zAkAz/2n8+cE8PsGg2Ezm81eeF9a+T4Y331zhC0cDqO1tVVwhcj4MfKA5c4gD5EA6gQE4sURRK4oiviMnD673a4Kv/IkBNkhfPHFF3HlyhWsrKwI1Mrp3ElEuHnzJn72s58hk8ng8uXLePDBB0V7AAiH5a/+6q+wvr6O27dvw2Qyobu7G+FwGN/61reEKOeTTz4ppEzcbjf+9m//FoODg3j88cdht9tx/vx5RCI7dRqpJnF7e7vI7O3t7cXs7CzC4TDW1tZQWFiouud4PI75+XnceeedIsQaiURQW1srRENbW1vxp3/6pxgaGsLs7CzOnTu3rxrF2WwWdrsdCwsLQi8wEolgeHgYiqKIF//UqVNobW0VlUyy2SxWVlZw8eJFTE9P45VXXoHZbMbx48cFejo5OYk77rgjb2UR6nNKCFpcXMTS0hJcLhei0ShMJtOeaJ9eeICHfVOpFC5duiTCT7TA8F2wPMHLYSFgt3aqjGZTuJnEqbUWamDXQaBzDA4OqjSu9sro5CEuAOKeeEUFuU/0+ocv6oODgzh9+rS4Lz30i0yLM5TPZF4gD2PlQznpbx6PZ08+qDzv6CWFlJaWwmg0Ct1CcghWVlZgt9t19dd4u7SM7kfmCXq9XhWqNDk5Cbvdrnpmes99cHBQbFZ53VmtxLp8bSLjDg9HqgC1I0obfBk5BHKrdBDSxp0Hehd4xjoldMnJG/L6QAgiHyuAOoQpO2V8DNIzkJ0wkm3i728+yoDcj7JzRBt63reEnJKiAT13Cl8Du3qExLGUnTTatMkVT6gv6DiZR+p0OlWRtr2SSjgIo3ffZDzDl54p0Rgo8UWOepCzRs5hKpUSz57487wtWnMMVTvaa178oGw/DuAggFaDwdAEIAjg0wD+D35ANpsV6aEGg+EHAF7+bXL+gN0doPxw+GIpZydywrDMPSCVdmCXCwfsljgjzh93Fs6cOYN4PI4zZ86oQq7c+O/cIfR6vbhy5Qo8Hg9qa2sBQCBRVGquqKgIhw8fRiQSwfnz59Hb2yv4enRem82Gv/mbv8Hbb78tHJS1tTWsra1haGgIi4uLePLJJ3Hy5El0dXUhGAyioaEBvb29gpsRDAZRU1MjxJO3t7cF8kfcO72Sc7FYDH6/H/F4HJlMBmNjYzhw4ADKy8tx1113CbJyV1cXHA4H+vr6kEqlcPHiRRF61eo3Hvq12+2466670NvbC2CH/0OyPDSJms1mPPjgg/D5fAgEAhgcHMSbb74Js9ksajivra1hbm5OOH2vvfaaeHZ7WUVFBR5++GEkEgm8++676O7uRjwex0svvYREIoGPfvSjOZIKHIkj0+IOyf/z8UmOG52HyNoy34ej2VqLvMPhUGX3clI5EZp520nqJRQKqb6nVaaMP7vW1lYxGff394sC9Xq2V7iZhxf5deTFU6tfqb2EOL2XEBLNK3J0Yb+i89w4SsnbmS8phPpxcnJSxcvSM67DuB+Hlc+Z/Nr9/f1wuVx7Xo824FwiZHFxUciwcO04rb7g180XdgeA4uJiALvjv6amRjX+Cf2k0KVsvLYzvRukvcdDnlrjhvpTHqPc6dQKf9I90N9l50n+jsfjUWVy6xlHsHibuBh4vo0Vd2yAXQrK97///Ry5F+Kw00aEzk0qCECu1BXdIwDRt1xeCtiZ2wlh3k9EQWszp3csDx8T4k68an6MfDw5glqSSPmeh15SzW/K9nQAs9nspsFg+DJ2sntNAJ7JZrO3DAbDn/zn3//f/+Y2vm+m9XDkXR43Tv6UeSErKysYGRlBNpvFT37yE1y7dg0GgwGBQADnzp0TSB/P1n3++ecRCoVw8eJFnDlzBjdv3tQNa/IwRSQSwfT0NIqLi3Pq69Ixn/vc53Djxg1EIhG4XC4xGcViMeE0UXjz5MmTOHXqFEpKSgDspLJ/97vfRSQSQU1NDYxGI5aWlnIQLyoeX1BQIBI07r77bmxsbAikjio/kLyK0+nE5uYmgJ1axxMTExgbG8PU1BQqKyuRSqWwtLSE48ePC7mazs5OZLNZDAwMIJFIiMSY/v5+HD16NEcMmidtUIidCsL39/djenoaJpMJhYWFMJlM+MhHPoLq6mr4/X5R2L2xsVE4fX6/X2RGv/baazh58iQGBgagKIrKEdUzenYtLS347Gc/ixdffBGJRELwHaemprC5uYlTp06JGrAy+sy5X3yzQg4QLVLyjltRFCwuLuLSpUtYXV1FOp0WgorNkgAAIABJREFUZaYaGxtzpD9k/bh8jorMteGhOdo8yRU9tMIyWmgEJ6bny9rTIuBroTl8oiX+lIyq0N84z4gfo9VOCneTkYhwaWmpakGkNuuJzlOdVS2THQX6n5JCqE+1Fjqj0agqIclNDu/lC6nlM5qT+KZSNi0umxxC5mXY9JxbefEloz7g8yRHVzkaDqgjOdlsFoODgxgdHRW8r8HBQYTDYQA7IWTKbqUwOqHUhHLROeV63DT+6P71Qqe87TyZiosYkxOi9c7Q+JFDxTz7WIvKRP2/H0UCo9EoMqqpfdSuqqoqlRPHN318TvF4PFhdXQWg5iNqoZnALjIn0y9IOgzQrhakd5/7QdnoHrRqn+uFdROJhO57xs8pf7YXBeWDtn3pAGaz2VcAvCJ9pun4ZbPZL/z6zXp/TH54eoOPHipNQrIjyMMdXBbGZrNhbm4OXq9XiBZfu3YNExMTsNvtmJ2dhcPhwNbWFi5fvozBwUFUVFRgbGwMN27cQDKZxNzcXE52K89iJemRtrY2/PznP4fNZkNVVRWeeuop1S7Fbrfjsccew+zsLE6fPo2f/vSnotoIlyWJx+MYHx/H6uoqNjY2UFZWht7eXnz1q1/FV77yFcH1+/M//3OEw2GV88cRttOnTyMWi6mIs4lEIod7RzVZb968iWAwKKRegsEgwuEw7rjjDhiNRgQCAXR2dgokgdBD0vKz2+1YWVnBz372M8TjceFk0g6V6/653W7hKHq9XvFcKyoqUFpaisbGRrS0tIhr0X21tLTgzJkzmJqaEmXuQqEQvv/978NsNufcGxmfhHmZv4qKCrS0tOCJJ57Ayy+/jK2tLVV1k+LiYlRWVmJ6ehoVFRV7Cu7StWiBURRFaOtxs1gsKC0txenTp9Hf3y+y4/j59JIK6H3h700oFBLjnResp4Wa0D8AqpJT+0W96J5kEVdu5HDKvDpunNvInWij0Zg3BMzvNd/ELCMzdDxHEmV0g9olL8r71QKT5zDiVnGkdL/hJDm8ly+kJpt8P6Ojo3C5XDAYDJr3ku+ctGlpaGgQn1ElBTq/bLwPgdyMTG68VjYdw59/MBhEd3c3VlZWxJhqampSJfkpioLW1lZRBgzYLe1Ggsp6/QPsOslUKhHITfohFE7OCpbF9vnz3yshiniiWkgpz7TljiaQy9t0OByi1CM50uXl5aoNUDAYxODgoKgpr/U8tre3VSXu6N3gyVV0fr/frxrTfJMho6pajv9eHFE9tFveyHBkVwuNpXuvqanJqXrC+5Cfm/+834S/D8J+pyuB8BeISwBsb29rDiBKBwdyS0oBO9yQ0dFRVVWDgoICVFZWYmFhAcDOi1NeXi5Qq4GBATQ3N2NychLj4+NIpVKorq5GcXExSktL0d/fL+r6Op07lTyeeeYZIf9SV1eH48eP4+LFi6JdX/7yl1XOH3fOVlZW8K//+q8iVJzJZISzuby8jLvvvhvXrl3D8vIyTp06hUQiIRyab37zm+jr6xMVPyirVQ9hu+eeezA8PCwcqdnZWRX3Dtgpezc4OIjZ2Vl87GMfw/j4OMLhMMrLy5HJZERR9Y6ODhGy5Vm85LxOTExgaGgIiqLg7rvvzknGkJNoqMTcd7/7Xfj9fiSTSdx99904ePCgkOXhXEuqAlBRUYHNzU1MTU0JxMXn82F5eRnBYBAnTpwQ90Zl7SjsT/qGvMyfjBTy6iaxWEygg8Sh4cfLE4W8yJCzEw6HMTk5CbPZDIvFgng8juXlZYFo0KKlFWLi1+ETOJ/0SOqAfickh35fXV1VoQTEBeMoTb5Fi4xCmFrGkxZk0+I2EjJXVlaGQCCgQhblDR5HTvaamOVnIveVFrLC+1RvsdIz/h0aJ3I1Gdn00GnuRHH+HTkCdrtdMyRK7eD3k81m0d7erstzo+tpPXfilfHnYLVaVc9Hvj+fzyeEkXmbePiUEjBsNhs8Ho9K9Jk2Mel0GuFwGOfPnwcAUfaMiyFzBJHa3dTUpFsWkMLbdH2Oxmplp5LxUCJt0oLBIEZGRiAnU8pcR84b3K9Rn8roGD032VHktBCaQyorKwWHjUwLQZbXT0oMKy8vR3t7u2qjSd/l90xtlJ8550Hv9a7K86WW7NCNGzdUup9Ea6F3LZlMis0+H68czZT5jvmeyV484Q/afqcdQCB3sZMXHQrraO2A+IOUHyqhC+3t7bj33nvR19cnxDljsZhwhJqbmzE8PCwyg+PxOAoLC5FIJIRmH2/L5cuXMTIygpaWFvT19aG8vBz/8R//gaKiIkQiESwtLeGFF15AXV0dWlpahHM2PT2Nmpoa+P1+UfYsEAggnU6jrq4OdXV1uHbtGsbGxpBKpbC9vY2rV6+it7dXJQJNvBJ5MpcRNi3OD+3oKRnkxo0bmJubw+bmJhRFwVtvvYX6+npks1k4nU6sr6/j6NGj+PSnPy3kXrijGQwGcfPmTaTTaWxsbKCzsxOvvfYa3n77bXz84x/PScbgnEnql4KCAlgsFqHr9NBDD+Gxxx4T1Uu0rLW1FQaDQdxvbW0tysvLMTU1BWCHsH7hwgWhlRgIBHDvvffi2WefxdjYmIqj2dzcLMLQBw4cwF133SXQMyLPd3R0YGFhAf39/UIeqaysTJWJJo9jp3OXIE27UWAn89VsNgsZnbW1NbS3twuHTGvy8fl8eStW0NjUC8eR0TtCTsR/xfHRQuAI2eMOwuDgoAg16Z1fDiPpIUwcOeFOsp5DQ2illqPF2/9+TvIej0fUkparTsh9Jj9jzkujviopKVE5JiTxIX+HG1/UgdzSgvJ15edCCC9fcLkocz5ZGqqiQ+LDVqs1RwaFEmGA3FAt38QQ14s2fcTpo/uLx+MqmgFvm9bzJdSaxiklgfCNx14qE0RTIAktrvGnxUt9L6ggbzM5fnIb8o1VSjqjfqeMWYvFItBWQvM40s1lXdLpNGprazE/Py+cLAqzE4q4trYmstebmprEc+XjQg65c+MbOf58yLRkW5aXl3OcdJ59T20FcukyModyP5aPv/ybsN95B5CMw87yJMUJ8fLipEc65zAxlXHjXK+77roLXV1daGlpgcPhECXiSkpK8LGPfQzT09NYX1+H0+kUKFYsFhMVMQhyP3bsmMi6oxrCxcXFmJ6eFpIibW1teOWVV7CwsCCSMebn5+FyufDFL34Rly5dwtDQEDo7O1FUVIRoNIr6+nqMjIygrq5O5YS2traqQtDAbmKHnJVMSN3c3BwAtY4STf63b9/G4uIiDh8+DIvFggceeECga11dXXj44YdVzpieo3n+/Hl4vV6Ul5fDaDTm1ELmzxPYyQh+9913EQgEMD8/j7vuugvl5eXo6OiA3W4Xx3P0VFF2K7BMT08LniZxho4ePYqFhQU888wzmJmZETvWwcFB4fxzjmZRUZEIQ29sbMDn86GyshItLS24fv06/H4/Cgp2XsEjR46oUEk9NImMNi6kwwjsTKjJZBKFhYViAbFareKcepMPPTM9pIK+yxcT7gzw8kf5OE9a96DlqGgd43K5VNxDcthkI4QgFAohEokI4j4Zb7+Wk8fJ6/Jcwftve3s75/pyMs5+F+W9jBIcCM3iYWat/pJNa4EnXhYZT3zQ+o7Mf6R7I46cVpvla8qJeBw5kTmaPDyZTCYRCoWwvLyM6upqWCwWKIoCi8UCm82m4lnyOYjzMbnJ2dW8LrTTqS7BR9Qg4p/mk+7gY4f/rb29XZTdjEQiOaF7zkGjkLBMJZCdeCA3m5ifM58jxL+r9xlHQ202G6xWq7jHaDQKg8GAkpISQf3gAtLUnsHBQRUdpLS0FFarVVR+slqtuP/++wFAhaZxXiiNN9ok5Evw4Bs5sv1GH+geaM7QMv5uy5QYOqfee60VftdrxwdpHxoHkIeDufEJU6tSg97D4QiAx+PBzMyMEG6Ox+OorKzE8PAwHA4HKioqBM9vYmICBoMBmUxGoIQXL17EsWPHxO7z7NmzGBwcRHl5Oebm5lBYWIgnn3wSP/rRj1BWVqYq3eb1etHf3w+z2Yy1tTWcO3cOdrtdoE80IDc3N+F0OtHV1YUXXngB4XAYnZ2dOTV2eWm58fFxJJNJbG5uqhI7OFKnJ1R99OhR3LhxA263G4uLi8hms7jzzjvx6KOPAoAq5MpNK5QLAD09PYKLc+DAAcTjcV09PkL/VlZWxK5zaWkpp6awHNoOBtUVWGZnZ9HT04Pl5WW88cYbWFhYQG1trRCSvnr1KtbX19Hd3Y1z587h4sWL8Hq9qKqqwhe/+EWRgRgKhTA7O4v19XUcOXIEoVAIXq8XJSUliMfjSCaTOHbsmEAutXg6crYfn/Q5Gk2cFFpMeKg2H/eHoyXUN1ohUb6o0M88kYBnY9J1AX00Qnaw+O8ejwdDQ0PiO/39/VCUXDkM3l7qJwqt9fT0iOxivkiS8WxIHuqS+0J+JsFgMEcSJx/69V4lH+QF3Gq1CseXbwy4I0sOmpxIw58tIRrxeByDg4OYmpqCx+MR2nn8/rnJ9wNAJDApiiI+0wvj8g24Vn/J6Ao5MdeuXRNUhurqaqysrCCTycDtdotNDl/kw+EwwuEw0um0yEilkDA9Kxo/dXW76mayo0AOsZ6ki3yvNDZLSkpU2fHkTOihpLwfuOSJvPmjtnFdPBl540bX0UIM6f3XQv0Bdai0pqYmB3XjbSPalB51A9gJ7fJ1Nh6Pi2QunpxDaCJplxLHmdrPKQr/lXeKLBQKYXR0FGtrazCbzVAUBSMjI0KCjJBIMvqZqC08+rKfdsgUlXwbuA/aPhQOoF4mDwDVhEk7AL0XlBshALFYDDMzM2hra1NVjohGo5iZmVGhSoFAAF6vF+Pj4ygrKxNVL27duoV4PI7e3l4xQLq7u9Hb24vvf//7KC4uxuuvv47Ozk5UV1eLEKvX6xWCzE1NTfD7/ZiamsLx48cFb2FgYADz8/Ow2+1CkJocUCrPxvvpxo0b8Hq9WF1dxZtvvolkMol7771XJZbsdKqTLrhQtd1uRzKZxNDQkCB6X79+HUtLS2KRoUojepIush4isJvkQjI0xDPUCsM5nU40NzfjlVdeQSwWQ0NDAyorK0XWIX1Hvg+tZJa33noLV69eRVFREZaXl4WDb7fb8cADD2BpaQnnzp2DzWYTjqvT6cTAwACmp6extraGkpIS4YhaLBaYzWZsbm4iHo+jpKQEx48fR2Njo2gThRgJMdEbg2R845JMJlFaWipQLy7STNprra2taGpqyik2z8cB59/I8gty4Xm+sO/l+PBd9F7W2toqwmvkxPl8PhWpnpxjvrCSg0Y/6yGfTueupANxlFKpFBRFEVSKZDKJbDYLm80Gm80mRIxtNpsg+P9XJvK9wm5ayTh0X9xx4WFdSnYAdh0uqiTBJVHoPQCAoqIi1NTUCG1RKm6/V5IKod96z5s2IvLcSzIf/B7oPDwrlmfSt7S0iOfZ2NiIcDgsIgA0j3NyPo0TnpUdCAQEzYU44Nvb26rsXTqPnBktjx9yCKnN9P7Ii7uiKJoam2T5QpZ6fF/OcZW5d5FIrrafz+dDd3e3apMgl36UuYRUBg+AimsO5GZ889/lMcvlqlZXV1X6d0ThoGtTCNxoNCKbzQpqwH6cJU7j4iihTJ0hTjdHYPn5R0ZGsLKygubmZnFuj8eDhx56SHU9PfkgPZPfkf1kYH9QZnr66ad/Ixf+3ve+9/SXvvSlD+RaVqtVNUm2t7fD7XbDbDYjlUrBbDaLzwjq5haJRHI+VxQFJpMJ58+fx/j4OPx+P1KplNh9JpNJNDY2Yn5+XoQOfD4fCgoK4PV6UVhYiNXVVRQUFCCTycBsNiOTyeDMmTPY3t7GoUOHkEgkhADnK6+8guXlZRgMBrS1teHKlSsYHBzE4uIiQqEQtra20NLSgrNnz8LhcMBqtcJqtcJkMuGll16Cx+PB0tISqqurcfjwYVGU2m63i3vjx09NTWFhYUEsiIcOHYLDsSM9Y7FYYLFYcOjQIRiNRnzyk59EV1cXVldXkUgkRA3cra0tDA4Owuv1wuFwiPBMdXW1cJ6vX78OAGLh4c+MjI5rbW3FkSNHYDQacfz4cd0QD52vtrYWFy9exPr6OuLxOKqqqrC6uory8nJxPX4fDz30EA4dOiTCxoWFhbh16xY8Hg82NzexsrKC1dVVNDQ0YGFhAXNzc9ja2sLCwgJisRgOHToEs9mMYDCI8fFxOBw79Y0BCKkQ6sN0Oo2VlRV0dHTgy1/+supeYrEYxsbGhOK8wWDIe6+xWAzLy8tIJpNIJBKiAk0mk0F3d7eoGqAoCtbW1tDd3Q2r1SrCUbTzbW9vh9lsFu9JNpuFw+FQldDiKF46nRb8Q7PZLBx8Hi7SQmcDgYBwpCj0F4lExG7c5/NhampKtIscsqamJrEDp/c4mUwKyR9Cymixi8fjcDgcIjHmnXfewdTUlKiwMz4+jkQigY2NDWSzWXR2dorKIffeey8ikQh6enrQ1NQEt9uNZDIpEBF6f9rb28X9as0TZMSfouPS6XReB9Dn86GiokL0KQ/R1tbWqvoY2HFwKHkhGAyioKAADodD9I3ZbEZhYaE4RzgcRn19PTY3N9HR0YFwOAyLxYKenh6hmUfPW+ueUqlUzpj0+XxIJpNQlJ1qG+vr60in02JRJ84esOs48HOT1Eo8HhfIOG3MSHS5sbERBQUF6O7uViFEpOcJQDWn0ty+vr4u+LWKoqC+vj5nTaB79fl8OHLkiOre+BxJfU5z7Pr6uuDV8TFBmxXSjCWnNBKJIJlMqrKV5bFDnxGPmyP1TU1NKCgoyCmneuvWLZGMQvdJ1AGr1YpAICDAArnP6WcKva6vr0NRFHGPkUhEILH8PU0mk+I91Rp35KQS147ul95b6kfipZPzR0hrVVWV6h3TeybJZFJFEdEat5FIRDVmFUVBOBxGNBpFNBoVnxO/kcT7eQicEqh4H+q981pGiO17+c77YV/72tfmn3766e/Jn38oEEDZZDIz5xloTcoEifPdbCKRwLVr1zA+Po6qqioRBr3jjjsQDocxMzMDYKfm8dGjR8WOcGxsDE6nU5BiV1ZWUF9fj6amJkxPT6OyshJzc3MYHR3FuXPnUFpaildeeQWKspNCH4lE8I1vfEPwI4hD4XQ6c0KqkUhEVZZua2sLBoMBfr8fzc3NQkdQPt7hcGB1dRWhUAhVVVVYXFyEx+NBIpFQ1c2Vky4MBgPi8bjIFK6pqUEqlYLRaEQ0GoXZbBbXomzncDiMV155BU899RRsNltO/2vV9m1ubsb09LQIr+s943A4jI6ODiiKgvn5eWxtbQm0lSeCaFVgoQQPQgMDgQBKSkrE86Vwf01NDfr6+uBwODA7O4snnngCTqdToMFdXV04ffo0XnvtNZw9exbT09PIZrNYXl5GXV0d7HY7pqamxL3T/b7zzjvw+XxobGwUoa7y8nLNMcp3o7TLBXK1yQB9zTZatHlIlOQ6iOvCTYvnpHVe2eh79O7Jpc44gsTDbsShkp8xD4ldunRJoHUk3EsIkXwdarPMmeI8N16qjO6FtPS0uDxaWYZ0z4SI5eMB8fmFxHQJ4eTPlYfZE4mEqg9GR0fR0NCgOU4IjYpEIshkMoKkryg7NV1JF3QvI6dJNln/jY8JCjOn02lVWI/OR/dCRg4voWqkT6qVKc7RT+JxU9IJOTiycLn8XHnfy3/nz4aQJnpPjEajapzzn7XC2npSJfwd1aJZ8O/pbRy448QTyAihpwxp2Xib9arN6LVFpkcA2nWRKbFQLn1Hxsus0btBlWzeL6M28LFbUlKC0tJSVf1ejtDV1dWpno087t8r8v/bEPbl9qFxAGmC14KFOX9Jy2hBkF+Chx9+GGtrayIMSlIrCwsLKCwsxPLyMoqLizE0NITe3l6RVFBbWwu/34+qqiosLS0JHUEAuHr1Kl577TVkMhncvHkTn/jEJ9DQ0AC32435+Xlsb2+jrq4ObW1tuHTpkqjB++ijj+ZktvIQJwlTc507cvbkkOjY2BhCoRCsVitKS0uxvb2NtbU1UfOTc+/4ZNXT0yMmA0L62traUFJSIpwZChf39fVhcHAQm5ubiEaj+MY3voGPf/zjeOSRR/bF0VtcXNSUWuHcNbr3d955B9lsFgsLCzAajTCbzejv78+5d/ouhahNJhOi0SjW1tYQCARQVFSEkpISVViJJBs6OzuFpA6fUKlkm6IoGBgYQE9PDxwOB6LRaE5ZQLrfW7duQVEUrK6uwmKxqBBGrclDj+hMXCcunQDsclq47AI5WLRAEFpD56UkF61ScPlCrHI7Oe8on16gTMTm16SFBIAIb1KYm/OVtDQS9Yyuz3f23Imh8BodJ0tpAOrQmUxtoMok+ZxmrXAVkdr5wi3PQzxjMZ1Oi989Ho/gzXLRZaPRqMqULisrE6FhLgkj234I9fRZOp1WjcNAICCyRuUEB3KOJycnhRi8xWJBMBgUXDFaoLnzkEgkhAQLnZNruXZ3d4uwL/WTHPLkz3Uv6gIP5fLMUT4m+PPVozto9SPX1aRj5LA4XYOPLT16E1FAqLpGOp0W/f/yyy8DQA4dgCej8PvnmfHyfWiNaa0ELboXua4znVsrAUYuB8mNO870/tN44fqfWhxd/px5drhcAjASiYgNB5WsJATv5ZdfFgkt7zUc/NtkH4oQMLCzWDudTqRSKVy7dk3s9AnyphAuLe6RSAS3bt1CMplUQeLAbhjg4MGDInx46tQpxONxEa7a3NzE6OgoxsbGMDExgXA4jI2NDSjKTrmcqakpLC8vC+duYWEBKysrGBwcxPr6OqxWK1ZWVlBTU4OKigqYzWZks1k89dRTovD0HXfcge7ubnzqU5/SDRFSiLOoqAhnz54VEiV9fX0YHx9HIBDAoUOHhKq5xWLB4cOHYbVaUVtbi42NDZw6dQpNTU0Cxqcws961eDh1aWlJyL785V/+JZqbm5HJZPCLX/wCAwMDmJmZwcGDBxGJ7EjchEIhkTFstVqFnM38/LwIWU9NTWFjYwPLy8swm80ijE2hYgr7WSwWVFZWwuv1ori4GLdv3xbSM5FIBEajUfO7lCHpcOxoOno8Hvh8PqRSKczNzSEejyOdTqOyshKHDx9GbW2t6JuWlhb09/djcXERbrcb4+PjWFxcFBJApaWlOHDgAO68806sr6/joYceEk4oheB//vOfi7a6XC7YbDb84R/+YU6fU9iIUxwikYhAWCh8T8gr0QzuueceUe6uu7tbcP3oWOJgAbuIdmNjIxwOB1KplGoS42EY3ia5jdSeQCAg0DmbzQaz2Szugfi0yWQS4XBYILB0DL+m2+0WyI/ZbEZZWZkIX1OItb6+HpOTO/qI8vtB1+Rt558HAgGsra0JhzAQCKhCbtw51gqdTU9PC54ghZpu374tHFIKkcp9J58rGAxic3NTFfblfXrt2jWhS7qysoJ4PC6eN9FbKLOS89ZcLhcCgYAIsfGwbzKZRFtbW95x5vP5xMaZP18KrQ4NDYnFNZVKYWVlRfD3CgsLBTpmtVoRCoWEI9Ld3Y3NzU0UFhaKkLzL5RLX5SFbovAAOw6ux+PBxsaGCHX7fD7RHxRyJ0SQxrD8XAF1AoU8lklYntpLCDkfT/L3AoGAKuzHnSav1yu0HdPpdA4iSOtWKBQSFKVbt26J8axHbzIYDKisrEQ0GsUnPvEJHDlyRGTsnj59Gm1tbapnTu3iKBhvv0xZoHeEf0Z0BTpWDnNS3/N3Z2RkBAUFBapNIVWDypcpz8P4brdbJOMRlYM7z/nOwf8eCoXEWCMUdX19HYlEAktLSwB2nOb5+XmUl5ejs7Mzh8v622r/GwL+T3M61ZIShBpokXSpyLWW0eCsqKhAc3MzLl68iOnpaSwuLmJjYwPpdFpw/La3t+HxeFBXV4fq6mokEgmcO3cOs7OzsFgsyGazaGpqQn19PVZXV+H3+7G6uoquri788R//MaLRKJ599lkcPHgQExMTAsWjSiEcMdMa8BUVFTh06BC2trYQieyUleOompxNW1FRgaNHj6K3t1dk69Kippd4wa9FKBoAkRjhcDgEBH/jxg1sbGygp6cHFy5cQCwWg8ViESgaTzbZ2toS52hubobJZMKFCxfEy9rW1qYKnU5PTwtkEACef/55TE1NQVEU1NTUYHFxUaCmWlVOxsfHRcWQ3t5e2O122Gw2LC8vY319HZlMRsj8xONxIYg9PT0tqodEIhHMzMzA5XKhtLQUVVVVmJqaQldXl+qasmmF7CsrK3HgwAHNvtbi2MkyPIAa0dAa57z6BiElPCRitVrF3+kzPfK6HNYjh4faQ8gJJTrJY4ccRI5c5TPa/RsMBrhcLrFb5+FMQoX09BS58ZCWXn1msnwLlCyzQk4rnUuv/BqhIiTU7Ha7VdUkaJGm72azWYGw0TtBoXvqE95+OWzOaxXze+TPVx5nkYi2VAZJpABAJpNRheQpAYlQE45gcT1Aahung8iomNxfAATXTS5PqCUYvJcED9fr4+Ffeh6hUEiUViQnipAhej6xWCwv+kQ/awlFc8RQztYHtPXsZIvH49je3s4J+Wp9V6Z+APnLQuo5VURHyCdzQn1KEQcepuZai1rPOh8Cnc/01kX5e1xgXX42fFw5HA6xAf2fbr/TDqDegJEncz1ODy18nH9DxiclcqgaGxuRzWZRVFSEQCCAVCqF1dVVhMNh3H///XjkkUcAQEickFNFjkMwGMTDDz+MoqIiLC0t4fOf/7woH5bJZHD06FEhjtzZ2alZPq65uTknFOz1ejE8PAwAQviZa+3JTh0hMU6nE/fdd59oJ9U21gsJADuLQF9fHyorK9HU1CQc5OnpacRiMRGaHR8fR39/Pw4cOID6+nq0traK0FM2m0U8HlfVLiZB7Ww2KxykwsJCUVd3ZmZG6O2RNA4968OHD+MnP/mJIAGfPn0ajz76aE6Vk7KyMrz66quifjIJPCeTSTidO8I3jrMIAAAgAElEQVTVRUVFqKqqQjgcRnNzs+BdLi8vC33DmpoaeL1e+Hw+uFwuTE1NqaRLtLQH5ZJ2JBy9urqK+fl5nD9/fs8axDRuZePjndeDJQdHDj/xZ6soCgwGQ460i1YWIhl3GFZWVlSOAX0/lUrlTMx80n377bf3pagP7EorUJt4bVVamIPBoPhcb+KWz0niy1p6X9yRpP95dQ2OctD1ubOSr9+cTidaW1vF4pMva9BqtaK1tVUVqqKs3mw2K/plfn5e9T3qG3IQYrGYqCgDQMVx4/1DDg53LOhzLto7ODgoNtp0z1arVYXOcM4dAFW4lzZIcqjT6XTmOGhaz5GMki7ISQN25qirV6+qwt70nOQNArVBDhvqcfrIJicnVdVO5GtQJil/X6md5Ch7PB4sLi6K5Av6XOam8hA0PQty9DilgZx8/t7R92Vnh+ganNZAm4rS0tIc+Rij0ahZqjESiYiQLJ2DMtJpU0PXIB09CrXv9Ry0+v291LuWxyGwW2pRq+wl7wOtZ/o/0X6nHUA+YPggpAcbCoXE77SIyDsmvcWKX4M7VC0tLWhtbcWPfvQjHDx4ECaTCfF4HP8/e+8a3NZ1nQ0/IAmCIAkSJEDxfidFSjIvEiVZluVIoiLZseXY1sSTNk0TR208zUwzYyeZSaaT/sik7bSTdyaXtj/atLZzaZM2teLEkuPEESnZkuWIosy7xDt4AUmQAHEheAF4wfeD31paZ+Mckn6/L4kn7prRiCSAg7332WfvtZ/1rGfV1NRwXV9KOMjKymIxZ6l9t76+jrGxMayvr7PsSX9/P5KTk1FeXs4hVTJyKEgW5itf+Qo/+KOjo/jGN74Bl8sFs9mMiYkJPPPMM2hubtYgerQgqUkXhw8fxosvvghgU6yYnLLFxUXm60kC/V//9V9jfHwcXV1d+PrXvw673c59IGRufX0dxcXFyM7OxokTJzA7O4uamhosLi5ifn4eN2/exBtvvIGSkhJEo1H09fUBuCczk5+fj5mZGQ1/LhQKYWpqilGQAwcOsPRNV1cXCgoKUFFRwXIeJH5N96+npwe3b9/G3NwczGYz13WmEKLTuSkf8eCDD+LJJ59kBJa0GL1eL0sBvf766wiFQjCbzcjNzYXX68WePXu42gcAXQSW2iOTULq7uzXvq6iowOTkJCM7221eqhEqQUgQzX3JD6PXiV8jqxJMTU1xaE/dnMlkGS5AW/GBws6SXA/Ec3lWV1f5mdVbYKmv9N2kuSaTAQoLC5nWsRPZBXWDkRu0yhtTzev1bplEIdcVuVHLKhTS1GQTuTGFw2HeNK1WK8+pzMxM1gukPgD3eFlycyVpHYnCEhJMkREAmmoW0rmU0lkejwfV1dWMjJF1dXVpJF+MeIyyHRJFkya5o3omeVvvvPMOgHtOeFdXF1eXoDCzkQO3U5RJj44hP0fhUABcc5jeR+NKGe2y33Ke0z1qbm6Oc6KMjOSMpqamYLFYGB0np01NYJFZwzTfiDsnnwVqjzTJ4+vq6mKHTuX2UhRAJoosLCww8qfKvBhx8Y1M7s1yfVPD23qmPvN6SWmybe9F/0+vfe83+4N2AKXpFYOXN5BO2pLUTvwS2siMkC8SL25paUFZWRna29t58XE4HDh48CBr96mfl2FXcgxJBsTlcvHGHIlEMDo6ivT0dAQCAc7GJVHmoaEhjIyMYHR0FH//93+Pz372s7Db7fjGN76BW7duYXV1FQUFBejo6MDPf/5zpKeno6GhgWvY/vSnP8WpU6fYMcjLy0Nvby9ef/111q9bXl5Ge3s7BgcHsbS0hMnJSXziE5/gZJKWlhaMjY0hNTUVY2Nj+OEPf8iJI6oTc+rUKRZcrqysRGNjIzo7O9Hb28toXldXF44dOwaXywVgU2g6EAigrq4OJSUljL4NDQ1xJq5EBpuamnD+/HlcvnyZK6xI1E7ev/PnzyMWi2FkZARzc3PMvyQxWIvFApvNhscffxzl5eWw2Ww8dv/4j/8Ii8WCnp4eOBwO5OXl4dixY2htbYXL5UJ6ejrS0tL4uwFtNihVVpHi1zIJRb5vZGQE165dwyc/+UmWn5Bz02ju69lWdUr1Ttu00KtZfA6HgzcTQkD7+/uxvLyMSCSClJQUAGBnQc57lZtGm9PS0hI7cluFhMjhkOFV6nPN/1vdx8i2W5j1ElwkEiXN5/Ohrq6O/y4RP1U2QiIchBQZhc5oXOXG1NbWxk74xYsXNWUZJQpJDjUZjS2NCdWHlhpqJGhMupR0HeLKkhNB7S0vL9esrXV1dfD5fGhra2M0dmJigsPRanlDdbyNwn4ulwv19fVchqysrAwZGRlxiA3dL6pSQeG6ndpWKBM50fQ+ajP9TpWcaN2n5AuZbEVzR1ankden8Xa5XHwvKSOWeJN6ESkyohpIJFtN0tE7EElnxyipa6sxk2uJirbJZ5HmDWlqyrmmlwlMY7xVGF+G6ul9Mpuf+qd3rZ1o+unt19vZdhSK94tD+IFxALfjCdB75ALQ1dUVtwAAxpNgbm4OPT09WFxcRG1tLdd2pOoXFM7UC+PRpPD7/finf/onXLt2Daurq1hZWUEsFoPFYuH6tE1NTRgeHmbkqLKyEj/60Y/Q3d0Ni8WCwcFBXLhwATU1NcjMzER5eTm6u7sRDAbR1NSkqc8bDofxf/7P/8HU1BRu3ryJr371q8jIyGCnKycnB5OTkyxqnZ+fD6/Xi9XVVbzyyisYGhrCrl27UFlZiSNHjuDll1+G2+1GTk4Ojh8/jtnZWSwuLnLVk927d+P27dtobm7G+fPn4yp+XL16lbmXsVgMPT092L9/P3JychAIBFBYWMjONDnLLS0tvFE4HA5NpRQAOHHiBBITE+O+S9rIyAjefPNNxGIx5necPHkSPp8PMzMzqKqqQnNzM4fXnU4nhoaG8J3vfAc9PT3Iy8tDJBJBaWkpqqqqWOQ7JycHTU1NqKmp0VQhMSqrRygpzTH5vrGxMTz33HMIBoPo7u7Gs88+i5qaGvj9fly9elXj2G6XsUlj9V7M6XSirKzMUM5C/n7o0CFGMHw+HzsplPFpZJIjKDMKjUJC8tCmx+VVhWylyYVZXZRVJEoigVuND5lEuwjt0TOimZBTpm7MUnCbTG5sEmkCtNnS1HcaPxpbOixQ9EHOhUOHDnHGY0ZGBmw2G4tiU9tkGExFjxwOB98/uh6ZPGTT7zRWhCZKpE86dxRGLywsRFlZGd9riayRcynrAC8tLWkOSaoMiZH4v5HpzUE59tXV1WhtbYXb7YbFYuGMf8rQ9vv9cLs3a+PqVZigdtHaQ7I20nFRo1RqON3tdmNqaooFjYmTuNVBQ/ZH5fkarRNG4VY6sOmtPzabLS7UrK4dRojjdiafZzq4S7RO7z4T0k9jQUbZ4fJ3dX3YSVv0DuZG1IXfh31gHECjmycnuXqKoMxYPZPv8/v9eOmll9DS0oJoNMpZePn5+cjOzmbBaLnBSydkaGiIOXbXr1/H1atXsbCwgPT0dNaMs9vtMJlMMJvNGBsbQywW4wQIl8uFvLw8Pp3Pzc1hZGSEM3mpzw0NDUhNTUVrayvq6+tZq258fBy5ubkYHh7Gj3/8Y+Tl5XEiwPe//31YLBZUVVVx6R7KLgQ2N6Dc3Fz09fUhEAigsbGROXT/8z//A6vViry8PNTV1aGpqQmvvPIKf+czzzyj0d+rqqrC+fPn8YUvfAFLS0tYXl5GVlYWcnJy4sKuXq9Xw9+Tm11zc7OmvjHdJ7W6iBz/73//+7xIrq6uwul04r777kNlZSU7YPJh9nq96OzsREpKCvLz8zE+Po5IJILy8nKUl5fjb//2bwFs1iQmAW9KwnE6N5Nb1LJ6ekk5hAwPDw/ja1/7Gu7evQuLxYLbt2+jpaUFdrsdb731lmZMiU9ohGSoSPZ2i5lc6FVejHqyJdSJNhnKAKUQlh5qI5EPuo8SNaHryt+lo0BoKskw6XH2jEzSF6gvJJ8iw5kSWSO+nUrQl9+n53jSZkd1it9++21Eo1FMTU0hGo0yCqeW/VPbr4ZSjYzWMz2OM4C4ai6yfxQOJrSxq6tLg+ToadzJ+VBcXMzXl4k1hYWFcSigHgLd39+vSUSiNY/6r3KzVBSKri9lgLZ6JvRsK0dGlRihfjqdTqSnp6OgoICRRz3RbJfLhZMnTxoiQ2oYXL5PnVuSDkFjTPQm9V7pyRdRf1RnbnBwEEeOHDF0ZGT/9eaA3lir16F+quO8lUQUAF1eMWnVynWBnGj6Xb2WPEDJ19SKKepnt3Pg6KAhnzu5vr1f7AMjAyNNTdF3Ou+lrJP0i8/ng9lsxtTUFFcQWFlZwcLCAn7zm9+go6MDmZmZ2NjYwJUrV3D16lWsrKxgY2MDkUgETqcTSUlJcLvdeOuttxAKhVBcXIzp6WmWH1laWsKdO3fw3e9+F+Pj45iammIHwO12w+PxcCZoVVUVgsEggE2HJT8/H+FwGImJiXjppZewtraG5eVlbGxsICMjAx/60IewvLyM6upqFBUV4dy5c5xIQc7C/v378bGPfQy3b99mDkckEsHc3BwSEhLw8MMPo7GxES6Xi9GAz372swiHw8jMzMTx48exa9cu+Hw+rK6u4tSpU8w7SU5ORkpKCmf+Eqp46dIlhMNhjI2NISMjA2VlZVwlgbIfvd5NUem5uTlkZWWxpEFFRQUKCwtZsqW4uJizJEdHR1FVVYWjR4+isLBQIwejd9/JvN5NuZ/x8XGYTCYsLi4iNzcXf/Znf4ZwOIzCwkLk5eUhFArh5ZdfRkFBAbKyshCJRDAyMoKNjQ1Eo1F4vV5UVVUhEAhwEovZbMbs7CwcDgc++tGPIi0tDbdu3UJiYiJ6enpQXFzMxGeSutGT2VlaWuL7NjMzg+XlZZjNZpw8eRKLi4txY7pr1y5NX+VplMoRSl24rSQsAC0yTmgR0SIo5AVsLqYky0Nk79XVVaSlpcHr9WJtbQ2zs7M4ceIEV9eQIWCqDuD1enHnzh14PB7MzMywQ7a0tMQVFMhBofYsLS0x7y8SicDr9XJmvSrlIds8NDSEaDSK8fFxlj7xejeldMrLyxGNRrmqD90r2pz0KpPQWuJ2u9HZ2ckOyOjoKDweD+x2O5qampCUlITi4mKEQiH88R//Mfx+P+6//35sbGywxIYc19HRUea4ApsbHkUYwuEwRkdH4+RyaM47nU6sra0hFotxG5eWlrjvwL0NV15jaWkJHR0dLNsjZW5kpQyaX/K7af5K+RibzcZVLWR1B72NeXR0VIOKjY6O4uTJk1xLu6CgALm5uXA670ml+P1+DbeVKAjquAwODsbxqPVMlb5R6Qr0HnpmSOaEQt6ExoVCIQYD6Nmjqkgy054+7/F4mMM3Pj7Oju92kkuyKsn4+Diqq6thsVh05YuMwu/yGZ+fn+f7LCVf9NYIvTmgvqaiaGrlE7qHlNleV1dnWDGDKn8A96R0HA4HAxOUaQ9sUnyoMgsldxHdaG1tDR6PB6Ojo1hbW2Onf2JiQuOsbYXaeb1eLC0twe12syNL7SC0nmSXkpKS+Hry3v+27X9lYHZoUk0dQBw0PTExgRs3bvANfvrpp9Hc3Izx8XHmy9FEJr2r0dFRRCIRrsBBYb8f/ehHXOItLy+PNdByc3MRi8Xg9XqRnp4Or3dTMywtLY219RITE/Huu+/il7/8Jebm5lgcOi0tDVarlTfDxsZGFnVtb2/H9PQ0Kioq4Pf7UVxcjLS0NDz22GMIBoPIyclBW1sbcnJy4Pf7UVtbixMnTuDJJ5/Ez372M1gsFty9exfPPvssXC4XDhw4gKtXr/J4/PSnP8X58+dRWlqqyWwuLCzEAw88gI6ODt5QqZZnIBDgZBSn816GcE9PD/x+P/r6+mAymeB0OuOSVHp6enD+/Hk0NTUhEAjg8OHDGBoawltvvYVAIKBBW3eSxAOA0cbbt28jFApxIgyFybu6uvClL32JnfTV1VVkZWWhrq4OtbW1mJmZAbBZAYZCQM899xzsdjsn6vzgBz9AQUGBpn1qUo7axgMHDuDVV19FWloaNjY2sHfvXpw4cQKjo6NxY6qaREnkGOghIDsJT0jJCyNERdbIbWlpYYkOWWQdgCYkR9cJhUJISUlhSRMK6akncjk+hCQBYKTR6H7T32U4OjU1lT8/NTWl6Qs5TtQ+PU6ZyjWkcCAAJvLrfYYkaoB7vCUp1KyGr+i9qqCuUWYxmYrGAffChcTDkg4Jbdi0ltD7AcTNs51QCVQUUKKlOwmnWa1W7h8l+6jzl8abeJNGCN/ExAQ7B7J91O+dGj0rNGZSuicUCqGrq4tpEyTlQyFQdY5Jo/B2KBTibPCtvl/2gZ6n1NRUnl964u1GRrWa6UAg0Xmj793umnpZ23poGlEPCgsLGeyQJueuXDdkWFlmoQP3kod8Pp9GJJzm8vLycpz8DfXdKFKhJ21DJrnSJH8kM+63yhz/fdgH0gHcaeq3yrWYnJzEf/zHf2BsbIy12Shc9/jjjyMUCuHOnTs4dOgQPB4PVlZW4HK5UFVVpdHuA4B//ud/xsWLFxkdm5mZwd69e7F79260t7eziLHT6cTq6irS09ORmZkJs9mMkpISbGxswGw2c03j6elpOBwORvpu3rzJ1T7Iqdi9ezd+8IMfYGpqCtnZ2WhqauLwwMDAAAYGBmCxWJCeng6z2QxgM1RB9XqpJFVpaSlKS0tx4cIFdHV1YWJigkVHX3zxRfzpn/4pysvLNfy1rKwsJCYm4r/+678wNzeHgoICFk1WM4Szs7ORmprKNYsDgQBefvllFrylE35XVxf+8z//k0N1f/M3fwOz2YxwOIwTJ04wmkoyNKpzRZsqJfGQXiFlDssw+ejoKMrLyzE+Po5//dd/RXJyMoqLi9HV1YX7778fNpuNeY6nTp3iuVFZWQmbzYabN29ieHgYq6urXGKvr69P0z6S2VHN7/fjwoULrEF48OBBRsqys7ORmZkJr3dT4kbqOZLRZq4XYtELZW1lFELazlGk8Js86epl1MvwVGtrKwoKCvjU3NbWhmAwyHQAtYIBZfLLsA/1SxVold9JY+HxeBitm5qaYiRaymwkJCTErQM7HQM9o/A1fTcJGM/OzmLXrl3Izc1lZ0GP6G50zZ2YntNuJN1Bf6OsXxIiJud6JxIY6oZPVBs95021jIwMjdOYlpbG32kymXQPDtQePd6kaqrjJB1fI1PDpFLSBLiH5FDmc319PW/4KrBAmfU0H6jP5DhQTfn6+vody43QGFOSHt0vOZ/UQ6BqgUCAM+oJ1QK05fH09CK3a5eeqYdyQkAlyq7XP0CbOb7V/A+Hw/w+mTxD91weZtU1kub6TuesbCf5EtLZ3Io+8/uyD1wIWE5YOr1RuEeGpKgKA0H8tCnMzMwgMTERMzMzcDgceOSRR1BUVITs7GwUFRVx/dGysjL8yZ/8CVfFyM/PZ427K1eu4MaNG1hfX+ewcX5+Pr74xS/i7NmzSE5Oxv3334/c3FxOiDh58iRsNhvy8vLwiU98AoWFhTh79izC4TBD188//zz27dvHYU9Z7SMzM5PlSnJycuB0OpGZmQm73Q6Hw4GKigrMzMww/+fo0aNobm7G9evXMTk5idnZWayvr6OsrAxNTU1wu90YGhpiR4bS+YkDs2vXLjgcDr6+1+tFT08PO0mZmZmYm5uD2+1GUVERh8YLCgqQn5+P27dvIxAIYG5uDisrK1hcXERycjIefPBBuFwuTi7o6urCzMwM87/IMVpcXGSRZr2qJ3pVQ6itb775Jvr6+jA6Oor9+/fjzJkzaG1t5cotn//85zn5ZGVlBSUlJXjqqaeQmpqKM2fOICsri69XVFTEFU2mp6f5ZJuSkoJYLIaHHnoI165d4zGUVVlovt66dQtDQ0MoLy/H9PQ00tPTUV1djb179+L69eusjbhr1y6+p0ahQJrz5eXl7OwA96gPwObGrYYUKSxCnBm32x1XyUINR1GYhviaubm5cDgcmooHchHs7e2F2WyGy+VCKBRCYmIiUlJSsLKyArPZjGPHjqGxsVHznNJzC2yGgmw2G3JycviwQG2RISwai+zsbCQlJTEZ/eGHH0Z5eTkmJydRXl6O5eVlTsCiMfH5fBzGkWNATodeOIeeT3rdYrGgsbER0WgUubm5OHr0KM+R8fFxTrRxu93Izs6OC9eGQiGEw2H4/X4Eg0HOTlXDSkRvoPsqx10NBcpKD9QHqqRCWZtOp5PD7jLcbWR6TqtRCJLWWAp9U/awx+NBdnY2V+KZmpqC1WpFNBrlg0IkEuHMUzosOBwOTdso7CdD8hT2kxm52x1qaKwGBwdhNpsRjUb5sDw9PY29e/ciKSmJw5gyJO3z+fj5ofDy0tISNjY2uAJPNBpFTk4OHI5NzT6qRkNUBpXCoBdKpAQGuldqyN3I6No5OTmc6V1dXY3y8nJNhRl6HugQtVWW9VbtpXlA9+bOnTtYXFxEf38/R4ZmZmY0zw+Fn+lALvtNP9N3RqNRdHd3w+/38/wJBoN49913MTk5CYfDgdnZWYRCIc08ILoSrVe0ZqqHht7eXty4cQMej4f/UR/C4TBXOqK5Sc+NXs3737YZhYA/cA6gWr5GzQSUC63H4+GyVNXV1cjPz8fc3BzW1taQnZ2N559/njOtAHBpsISEBJw5c4ZFoMvLy7m0GSVmzMzMYHx8HKmpqairq8MXv/hFdqz8fj8OHz6MD3/4w0hOTmZZjLKyMjz66KO47777YLfbUVhYiIqKClgsFjzyyCPcFpqcfX19yMvLY6ehsrISwWAQoVAIVVVVzDXz+/149dVXGYXYu3cvPvzhD2NoaAh9fX0oLi5mDcNHH30UVVVVzFsLBALYs2cP0tLSkJeXh/z8fGRkZKCyspL7DNwrc3bjxg0kJiZi3759ePzxx+H3+zXct4SEBLz66qsIhUIIBAJISUlhbkcwGERSUhJSUlI4lDQ7Owur1YrFxUVYLBYUFBTg4MGDOHToEE6cOMF9oHEgnbtLly7FOYVLS0u4desW14BdWFjAnj170NXVhYWFBSQlJeGrX/0qioqKWPLh/vvvRzAYRGpqKt8LPYfIarWyc3bmzBl0dHTAZDKho6ODqxUQ91I6cOQYTExMwOv14r777sP999+PU6dO4dq1a+ycp6eno7a21rBMnzSfb7OMEp24S0pK2FmjRYr4eGSEji0vLzM6HolENBUqaO7JTby/v59DiXSyN+Lmkb5hYWEhAoEAkpKSUFVVhYqKCuTm5nJ7vF6vbmmqaDQaV/aMNgT1/fQZev5dLhfz2+heA2CHtaamhh0hOQZer5cRoP7+/ji+Fl1DGq1BNEbhcJiRzKGhIayvryMYDKKzsxOJiYnM6wU2HRmSQSKJk8nJSd7kpVMmnXAjp03yP+keA/cOBLQREq+S+r8VqqNu+Hr8RJXHRiXZ6LokfUMOOAA8/PDDSExMZGTm0KFDKCwsZAdX8ltVZ5cSc4iS09zczKh9f38/1tbWWLTc6/Xq8inpWk6nE7FYjDNNPR4PcnJysLa2hqSkJIRCIUQiEZYFojGT47+0tMSlGikTmeoge71euFwuFBUVIRqN8lzcipMoedTLy8u6zqcR50we7iSSnpaWhoMHD2rmkfq9hAwbmVF76dmjuu4AWOmhrKwMGxsb+NjHPoby8nKN80fl2QAwV5++hw4Qsh/9/f04deoU9u3bh2AwyHOKrkkOOyVUUjvX19e573pz1uncTDpKTExEbm4u/7NarYz80f/yALbdoem3Zf/LARQmoWc5uZxOp0bokRZVgr5lqLCyslI3o4eyNgOBAL7zne8gJSUFPp9Pk/mblZWFZ555hsNUjY2NqKqq0mjK0Wcee+wxXQkTaj99n8qpMKr24XA4NNeSmbRlZWWYmZlBSUkJ7HZ7nMC1lEGRJdqoqklHRwcmJibQ3d3NOoXUXqrOkZKSgkgkgtOnT8Nms8UJYFNbamtrAQDBYBDT09OIxWJobGzE2bNn+X55PB6UlpbC4XAgFovh/Pnz8Hg8fC0KOclxoEQYo6xbtc/AZr1Vk8mE5eVlDA0NoaioSKNjaKTlJ83v92N4eBgOhwMejwcpKSkoKyvD3bt3MTc3h8nJSRw6dEj3s3LeUTYyVR1Rs5+3qxQCxIsMqxmVeiYXb5npqxcWkfw1yWfSE2WVYRcKRbvdbs0mq7bL5/NpKlSQqe/binemPv9Sw0+2lb6PTA13SS7ewsLCe+L2qPw3olfQBma32+O4fjQ27zVrUs/UNYN4hF7vvfJsTqcTXV1dcDgcsNlsGodlO46lET9xqwO45NSRAwNoM38pvCbHUb0v290HGr+MjAzU19fz96gadkb9lHp5lHGs0hG2ykInGgChlcCmAz4/P48TJ07wte12+44oGoRO01yngxllY281Hnr3TG23/FmG3yWHVU8VQA/plfOWaqg7HA4ur9fc3BzHFaZ27kS7dHBwEB0dHRzdIYrQ8vKyZg65XC6e15LyAYC595LCQCbnrLzftC7KwhJGmpfvF/tAIIBGmX+Atii49M7pJEjvoxMUkdOLior42qpHPzU1xfpwsVgMa2trnB1J77VarRyyq66uxtDQEL797W+jp6cHGxsb/JmCggJNKFXP9E4UVqsVFRUVjEaSYyBDnfRZNQv17Nmz/PDIaxQWFsLr9SISieDWrVucIUu8m7GxMeZHymznqakpXLhwgUNr4XCYNQ3Ly8v5GmpbKisrcf78eeTn56OxsRHnzp3j8OqePXtgsVjw9NNPIzs7Gx/5yEewd+9e7huNyeLiIu677z4kJCSgqakJDocDIyMjnLmrZt3KPn/oQx/C/Pw8Ojs7sb6+zqE7ygiVaK/P59NFFYF7lVr6+vqwuLiIw4cPc7m9+fl5RCIRxGIxFBUVobGxUVd+SN43NXOYkGG1BKDRs0ChDsoeXVtbg8lkwtLSEsbHxxEMBjVhHgCaUM/AwAAAbYTbqX8AACAASURBVO1MMnqOVDSdnqVwOKypLKIiBOQgU/iEUEaJVPl8Pt0sTj1ky+l0chscDgcjj4ODg5p5Ij9Lpf+Mrk3m8XhgsVgwMTEBt9uNpaUlTehZImperxe/+c1vNOvJ8vIyv768vMyZtrOzswiHwzCbzZicnMTo6CjC4TBn1FNEgMKJxF8m1EqGUum7QqGQIapFRt8jEZRQKITc3FwcO3aMUaDCwsIdoRgySUJvA1TnCP08NTWFWCzGTgzxZtfX1znLW2b3qv2lbEyLxaK5B2Rra2t8+C4pKWFHMCMjQ4N6A/ERIzI5F8kZpHtghLiqdAqz2Yzq6moOZTc1NSEUCmHfvn2cDbtdtjJdk+4NjSV9N7Vtpw6IUaKGHEPKLHY6nSyXoods6Y2dSr8CNp1uCutmZmaioKAgLuyrzmdy4vTmYSwWg8fjQVlZGTweD4MJVJea+KW5ubmora1lB5nWLdrPJNIt93l6Tny+TfmacDjMyX+0Rg4ODiI7O5v7po7h79o+0AigesLZqjSUJOXKm0l6SPQe4F79XYnaeL2btYEtFgs7Qg6HA5WVlXEPQ2JiIkZGRmAymTA8PMyactPT08wD0XsYjUw9ccnqIkanGXqfmrChdw2/348rV65w6JcSN+iazc3NmlMooWIk1EwSFvn5+XwNQjrVtlDmZFZWFpNo9dpFIRa9vsn7U1lZyQgllZSrq6vTiDPrXdvhcKC/vx9vvfUWHnzwQc376X0+nw8XLlxg6RFZ8SQrK4tRzczMTLjdbq5ScuPGDXR2dmJxcRF79uzB9PS0Bo1UTb23RvdsK5PPgtvtZqL6xYsXuboEgDheGWn5eTwevr+ULUhltlSUh9AUqgpBKNN27VPLLdHzphLwgXuogzr39RAy6i9d2whZUQ9aRvdCaswROiZN3Uwpm9hImDYUCsHn8+Hw4cOcEEDrVCAQ4KiEirioGdKyzdtlHMpxkqhaKBTSlGd7r0aabFJ0WV5Lomf0frKCggJONPB4PDh79qzm3uv1Vfa3vr6edR31sqPpvsv7JftohPqpJp1b6QgavZf2FrU6i9VqZUkbWusoacPoemSErlMJReBeBSuaH+/l/knFAGnqmBgl4Kh7pDT5Gu0T8vOZmZmcYS6fTbq/9DlVb1Dve3Jzc1FTUxNXzIG+z2az8TzSQ5wB7RojdQflc7K0tKTxDSRS/37T/NOzD4QDCOiHg4yEXIF7qfgy7ALccyqkzImU85BhRGCT1/Dcc89pJoPX640Thz59+jR/xuFw4DOf+cyWmaGq6Tmj270mH2rp6KnmdG7K2rzwwgvo6uriMIWeaLFRSJf6b7PZkJ2djZGREd0QrJ5t93e916VcDCFvg4OD8Pl8OHnyJAKBAEpKSjSC0UbfmZqaypnJ6rglJibGObhVVVWaDGyStuno6EBjYyOHoQmVWV5exuTkJPLz83UPCka21T3bqUliu94YUFsGBwdhs9lQXV2tOcnW19czyZoWSHWz93g8cZv2Vm2R4RVAW2VEPsP0OwCNkDOFiGUomriB9B69/sp+78QIAaX3u1wuQ8FbPVMdRPqZqCdut5tRMBq/tra2uLFUs5Tfq6mSM/QzoB8u34nJ8nVG4TrgXo321NRUvqd0qJAVRXbiDMlrSxHvrYwcN3IwAH2RYWqDdEQIqSSdSorw0LyVZcZk8qF0uqkmr3Tw29raeMy2yrjWC9329/drMvv1DkZG89voNTVLWn4v0SXoszuhXdDnKeyrVwVEry3SUZPOpF6baU/fybMss7tVaST5vVJiRjqB77zzDtcNl5JJ79ewr7QPjAMoJ53cUMj0Fj8yqkpATsXw8DBee+01WCwWDeKjOkItLS1oaGhg54ccv1/84hewWq0aHtrAwACam5tRWloKp9OJ1tbWuOoOdA11YklnRzqjRogdvaY6hVstDO3t7Syu2drayjIpkktIfZdOyeHDhzn7l3iEDoeDx5F0Een95GgSGqJWTdnK5CJEjmdycjI6OjoAbJ4q5+fn0d7ejqamJl3OnLq4tLe3IxAI4ODBgwgEArh8+TJMJhMaGhpgt9t1K5E0NTXhwoULmJ2dZedemsPhwIEDB/DjH/8YXu9mWb39+/fjy1/+8nvezN/rIiMXc5PJxBulyWSK02aj99KiRpwZNaxGSQpG3JyVlZVtEQO1L1shCGTy8+qGT+XX6FRPZGx6XyQSiSvFtRNTkUUpIWW1Wvn3+fl51NXVobW1lZNgUlNT0dLSgqWlJV0OIwBN9QtZTYOM0CM5T7dCGoy+h8woPEj3X70/O0XHdmo0b+S6LPURTSYT3yd6Ngid1kOpQqEQ2tra4PP5+HPE01LRRwAaxIfGQq9uvDTpAAGbjgFFLIz2ETnOKvIo1xuSgSkoKOBMXEKtd3KoAOIrvMi20u9GDpbevVWzdqXJqhuqc0hjsx06byTDpvIxabxkO+TBT71uf3+/hstH/6sHGfnst7W18X2UcjfSEad+AZtOfmpqKvfT4/Gwgyh5he9Faut3aR8YB3C7hUvVlaJwVygUQiwWQ1tbG+7cuYPh4WGUlZVhdHSUdf5UJ0YaTTZyxigFfffu3bDb7SyLQp+PxWLo7OxkR+Py5csoLi5GQ0MDnE6nbshZr5RYZWUlfvazn2kQO6of7HA4cPv27TiH0cgkqul2u3Hq1CkUFxdzOFR1JtVxLi0tBQB+v9frxenTpxEIBHD69GlNX65cucLO5U7QQTLZBmovoW67d+9GamoqAoEAjhw5gtXVVeYTGl1DRXPdbjfsdjvu3LmDhYUFXL16FZ/+9KfjkkYOHDiA0dFRtLW1ISsrC729vRzqbmhoQCAQ4I2JssFJ+Hh+fl6j2/jbMPX0Lk+y9De5YFEYDbi3Wbe0tMQJ6aomF+Ps7GzN9SWCZfRcEklehhBpQSYniaQ8MjIysLS0pHEUfD4fOwrSkSL+IZUjA2A41npIg4q6yL5IdI7aIpNLaNx8Ph+3R3WGCW2nTZGMUDGTycRjuxUCTrYTTTwyuTEahU/1kjbkeOkhZ1s5oRL1HR0d1SAxwCZvS4bttyPU03ymDGk6nOn1QyLJNN/UtqsC39L0np+dml6o1el0cntkQpF0HPWcXunU7BQp/c1vfoPHHnssrj/qteU46SUaqaFz+m5y4ulnI+RSXQ+kA62ipTQGUkdPPiN6iKi07ZBd4N4Bi/qldxDwejcrVhFPkETkiS9Lc8IIUHo/2QfGAVS5GqqptS3lpCTRyaqqKqysrPBmL8Wd5SYiETmXy4Vz587hwoULuHr1Krq7u1FRUQGfz4ePfexjKCkp0SBR9L/JZGLkMRwO4+2338b8/Hwckqc6KZTpOjw8rEHs2traYLfbkZyczCFLPfTSyPTCu+T8GdU5Hhoaws9+9jPNQilRSZ/PhzfeeIM/k5iYiImJCczPz6O1tRWnTp3a1hmS4fTh4WENL5EsNTUVTz75JNrb2zExMYGZmRnN91JbVVHqrKwsrtLR2dmJhYUFXLt2DQkJCcwp+6u/+itNZjjNn76+PkQiETQ0NOAzn/kMLl++zBlvxJV88803YTKZUF1dDZvNhu9973uwWq07csp3YtsdeiTSQSKp/f39GqdB8mLoVLu0tAS/389hK3Kq3G43TCbTewoVqpsaLfgLCwsaYV3pcMrNg7LuUlNT2TmiUmF0j0wmEyMq1F89bpBR21SHa6txVXmKKpKx3SYFxNdYpf4A98SCgfeW8SvNyFF7L/dNHRNAv2/bzUH5mlyDpdCvHoJldC16TYr+qu/XOwTRP/qsEeomx46032iOqcLkoVCIDwImk0mT0aw3BoRgkhNCTsVWYyjHQzqt8jCkh7CRJixdA9Bm9FI1FXIKKRM8FArFVQWRNAxCWlW+LfXPCEGk1yUiq85LQkdtNhs/A1K0XQ3lq9+5HbJL4yU/I8P40vr7N6utWK1WTE1NwefzIRKJoKamhlHB93P2L9kHxgE0MpWbsRWcDCCuZJfNZtNs1IODgxgZGWH9pfb2diwsLGBsbIwzLF0uF0pLS5Geno76+nrN551OJ06dOoW7d+9icHAQu3fvZn0rPe4dfUZNCJDyJw888ADGx8eRnJyMf//3f0daWhr3raqqaseIkxreNUIfSQbnhz/8Ifr7+3Hw4EGEQiFcvnwZd+7cwdDQEHPxZMLEyMgIAoEATpw4ga6uLtYfNDK/34+rV68iFothaGgIq6ur7MgBm8R5Qt1u376N5eVl1plS23rhwgWW4ZCvJSYmMup74cIF3L17FwsLC7BYLFhdXcX3vvc9fOpTn0JlZSWuX7+O/v7NGq0FBQUIh8NISEhAZ2cnnE4nSktLGQXNysrCpz71KcRiMZhMJqysrCAzMxNlZWWM1O4E+dxqbIw4oXTv5IavbkoqTykUCvGirp6YaWMx4nmpCvz0v17Il76TZBoI9ZKZf2pIENCSsWUISZLNCeXfbmFWF32j5A7VYbLb7RrnmSoqkKnVSXZqlDxCIUIALIYtOWyy/bIdeiijkRMqw/7kLOhxpeleSHsvYUU9MwpFy593ygOktm3l1G6F8hihq3KvcLvdXOKPPqvy2cipVUPD6rNC406OKCXF2O12vs8ySqWGFY2QaRW5IuQ7KSmJx1ImE+k5RW1tbYxMqrI+8jvlGkAah5IXrB6G1DXI6YxPAJNG6xD9DGhD+GQS5DFC/dRqJjLBg8YoISGBqSQSxXY6nVyiT/aL9GLpMEoOK/E6JQ3h/eIY/kE7gHIxk1lSg4ODyM3N5VCSCrGrulKqLlgsFtNNpiBpj927d6Ovrw+vv/46kpOTEQqFcPfuXfj9fqSlpSElJQXV1dWs/6dntbW1cDqdsFqtGBkZ0eXeAVrdOemcEWJ38eJFbGxsYG5ujqVXKM09KSlpx9pxRqaHPiYmJuJHP/oRbty4genpaczPz+PYsWMANiUY6uvrOdQrHVCn08nXqq+v14SMVfRFIo/JyclwuVysYXjgwAFeOKldtFDTZ9Qs5cnJSbz77ruYmJjAQw89xK8RshgIBOByuWC32zExMcHitMFgEBcvXmTV+Wg0ylU+0tLSUFdXx8itPO1S4fpPf/rTLBdEyRSRSISFSf9vbCtUll5vb2/nhBOv14vZ2VmN9pbM7vX5fJwURe+XSBdxA1U+E/0sHQX6PC2ytKlJ59Ln8/E1KSxHeovS8SAtQrLu7m6cPHkSDoeDE37Uz1Eb6+rqdMfO6/Wio6MDGxsbmJqa0hDCqc9Ux1W9P5J4T/2TIryqM7ITxI1QF9Uh30pjTOq+bZcFrJp6LfWzkgCvJijItVSvb9uhgbKPUpvN7/dv6dDqXZckc3aKPkrb6r7IsCihT1uFiY0cYD1+pUSbKalAPk+U7U3zy4hGoF6ffh4bG4PL5eIx7urqQiQSQVZWFu9DRmFRyU01Mumg5ubmav6ulwRGnM+d8koJWZQqHnpOq9yvjVA/r9drSOug50r2d2NjQxcUGhwcxMrKCnw+n6bu78mTJw2d47a2tv91AH8XpnfSlRsXhYT1PidN3bhHRkb4PVeuXAEAJv6HQiH09PQgJSUFJpMJ9fX1GB4ehtlsRlFRETY2NpCTk4Nnn31W1/mTmzd9xm63IxAIaLh3AOLCnnqTamNjA7FYDKWlpVwOZ3p6GhaLBWlpaUhMTNzxeEpUyefzMRJKqOju3btx+/ZteDwevP322zCZTMjNzYXJZEJJSQkaGxsxPz/PJ+esrCxNYXk9aRP5nQDYcRkeHmZplc7OTqytrSEnJwfZ2dm4ffs2jh8/riuTopelPDQ0hKmpKXZWa2truX9utxu5ubkYHx+H3+9HYmIiMjMzEYvFsLy8jLfffhtzc3OYn5/nEHtqair27dvHWlltbW0ssk2hYgo3Jycnc0m9zMxMBINBZGZmxoWopW2VrUdjpIfKkuP8wgsvwOPx4NKlS3j++edht9uRlJSE/fv3syq/nhCyujHSxme1WuPQILnxqUkKTuc9QVe9UB+hEVRMXS7g6u/UVsoopM/X1NSgurqa30OOopHDINtGziwdtgoLCzE4OMhoJ5WrojHRQ4monNtWDthOnSFyIoF7iSFbSVm9F9NzdvTWRJpbWwndyixNFf0B4rlgqu0kPK73dz0ni1Ck7TZaPTRqK4dNtpEqBhGqrL5XOhF6SKbe98j3q5ntJO8inx+98ZDXlz+XlpZywtavf/1rplXQ/VOBDjJ6tvVkfWSoWOVDknPndrv5/XQwkuNhBMLI8ZRzktQWHA4Ht00NzV+8eBGpqamGNYzV+SEde5PJhOvXrwMAdu3axWVHGxsb45xJ2c533nmHHV+jQx+w+Qz9/51M9X9rHwghaGATCp6amuKFrL+/n0u9EZkciC8vQ5aamqoR9L179y7efvttXLp0CW1tbWhvb8f4+DgqKirg8XgwPj4Or9fLApHE6du7dy+XfZPm9Xq5FFlfXx8yMjJw/fp1FsXdt28fzp07h9LSUsRiMdy6dQvt7e1cd1AVmvb7/XjppZdw8eJF3LlzB+np6UhOTsb6+jrW19cRjUYRDAYxOjqK2tpaDVFfz8hxGBoawu3bt/HKK69gaGgIk5OTWF5eRmFhIa5du4bu7m68++67jLiur6/j2LFjOH/+PJeuS0hIwIMPPojbt29jYmJCI5wsBY/V8e7o6GBkp6qqCuFwGHNzc9i1axfm5ubYeSktLcWuXbtQWFgYJ6Atr09j1dLSgr6+PgCbiRnAZuhlz5498Pl8mJubQ2VlJSorK7G4uAiz2cwitDabDbW1tYwym81mHD9+HI888gj27NmDoqIivPXWWwiHw1xHeXh4GH19fTCbzbh48SKmpqawuroKv9+P5eVl1NbWci3LXbt2aeahWsNY/XtxcTFXn5El9iirs7W1FZcvX8b8/DzGxsZw584d3L17F2NjY5iYmEBWVhai0WhceScpxEz/E49z7969LGdDr8tFXRXApdJgo6OjGBgYYNFzSgJwuVxYWlqC1+vF2toavN5NsdVQKMT1uck8Hg+mpqawsbGBhYUFLudGsj1yQyUxaz2BWlkrlioyzM7OoqysjEtHUemxzs5O7N27V1POzuvVCsLT/NBbS3ZiRiW0aEOn+UvfS2MrMzZ9vk05HCNESy8MT6LWahkrn2+zfKDNZtOIJ1N75PdSdQt6H7WdrqUnzqzaVg7STsPMKm9zq+/s7e3VhFTV9/f29rLoN/XV7XZz6Tf5WSqjR8/D6Oiopla0UT1kajM5ZP39m3p1vb298Ho3q7PMzMzwXjU1NYXx8XGNRBV9B11f/Znqtb/77rt4+OGH+e+AVgBdzid6ti0WCxwOh6asHc2t6urquHtN16Y5Q8+9XCsktUNtKxmJnlOtZADM+83KyoorkTc5OYmysjIcOnSIBbIB8Hv15gd9fm1tDcFgEHa7HcXFxRgdHYXdbkdubi6Sk5P53suybvRvcnISx44dg8vlwsGDB/k7qDQg0YNofVFrqf827QMtBA2Aa0ASL4dOPypZVe8ERKiBlBZpa2vD/Pw8NjY2kJCQgN7eXphMJkxPT6O2thaZmZk4efIkrl+/DqvVikOHDmFwcBBHjx7lrFgyiXKRbMrt27c5Ay4UCsFkMnF5M6/Xi927d+Pf/u3fWEpFhgy9Xi+uXr3K9WbX19eZCwhsbtyrq6vYs2cPMjIyMDw8jFgsZpiqLrNzi4qK8OqrryIYDCIlJQU9PT0oLS1lFfyEhAQOmZE2ltVqhc/nY+5bRUUFBgYGEAqFdFEqdbwzMzNZyqWhoQFDQ0OMiDocm2XgZmdn4XBsVvn45S9/iXfeeQdf/vKXdSUy5MJbVVWFr3zlK/ja176G3t5ebGxsoLGxkRFKh8PBqJ3D4UBLSwsqKyvx7W9/mxdHm82Gxx9/nBHNpqYmtLe3IxwOw+/3c/m7pqYmrqPc09ODrq4uZGZmwmazYX5+HmlpaZxRBmyeFCVCaxTaJd4jOZbFxcVxCUqULHP37l2Mjo7C7/ejtrYWwWAQKysraGhogNvt5ntYVVW1pTwQoRB0AqfTvh7yo3LP2traGD2qq6vTyF3Qtdva2jjsJMM2EsEjRHNiYiJOxJgSJ0KhEBP1KWQnswjJqqurWTbm5z//OR588EHYbDZsbGzwHJTRA4lkkJOmhvSo79vx4N4LGkBIlYqYbIeebcfP2y7ETK/Ja6hUGb3vVdUVCKXVk/iQJmVoZNvJ4dALx4VCIY6WqNqu26GPkqupjg29Lsd8cHCQpbwAaDheatiRflepExJFozYT7QAA5ufn0dXVxesphRklsqg6bfR3NRFEfRZlJSt1bIGt0VgVIZZIJZl66KCDHT3j9FxSAhzNC0paobGUc7u/v9+wBKU6HyTvl9os1yj1HlB7yVGXtBFZX3wrk5nr6hhKHqUeb/H3ZR8YB1CepNWbbrQwSDK406mVFtm3bx98Ph/eeustRgiamprw7rvvor6+HisrK5idncXRo0eRnp6OQCCA+vp6fPSjHzXMGKZN/dy5cwiHw3y6JA4bhUSvXr2KhYUFhEIhWK1WhEIhtLe3s/ik07lZlWN8fByvv/46gsEgHnzwQXz84x8HAOzevRs3btxAZmamRrTY6XTq6g1Sdu7MzAy6urowMzODhYUFrK2tITU1FYcPH0ZSUhKX7crOzsby8jJycnLw0EMPIRQK4cKFCzh37hyqqqpQXV0Np9Op4Q6qyQo03vSexsZGLrkzMjICYDPU2dzcjMTERPz6179mdHdtbQ0DAwP41re+hc9//vPblkiz2+2oqqriE+bJkyc1XEoKOTscDhw/fpw3i9TUVNTV1aGmpganTp3C+vo6AoEAXnnlFbz++uscFjlz5gzGx8dx+fJlHvPz58/j8uXLmJiYgMvl4lB4LBbDjRs3eDPw+/145plnNKLaVFGEJH0onByNRtHR0YG8vDyMjY3hiSee0MyZWCyG1dVVPPbYY7h06RKHqtPS0thZJ77iT37yExw4cIBPsmRqkgAAjUO1XQgPABPd1RAWLfLAvQ1XLtaq0+P1elFdXc2cN8kHkpQP4k21trYC0E+gkE4liRCrYR5qi16pPpVULsPZsmKInm3nIEpnyGgj2s6J3O47AG0yhHQ09Bz6nWY4ygMYOTDA9iR4GaKTbZefk+2VSJS891tJcWznDGz3OnHb+vv7ORSqF/aWfTJ6Puh3NQGJJI08Ho9mHtJ1ydnQuz7VEdZ7Fu+//36+lt7YbmWqc0c8XdWBlEb6jvSz7LOatCLfQ0ahZAqD61EwaL4uLS3FobmyXfS86z1LhGqOjo6isLAQxcXFceuQ7J/X6+XsZ6mSoPc80nXJoQfurSm/r3DwH7wDaHRSJFO5GdIoA0jPVlZWMD8/z2GRoqIiJo9Ho1GcOnUKv/rVr/D000/DbrfrluzSy6K9fPkyxsbGsLS0BJvNhoqKCnYapRB1IBAAsFk+R4/Hl5WVhSeffBJ3795FKBRimDkrKwtnz57FsWPHmLenVjQBwIgkOR4khvzf//3fWF5e5iSH5ORk9PT04KGHHsLnPvc5DAwMYPfu3Sy5Mj09zZyNlpYWOBwORgK3K2Um37N79268+eabuHPnDpKSkpCbmwu3243r169jfHwcGRkZWFlZQXp6OsbHx5GXlweLxYLOzs5t0c2rV6+y/l0oFMKLL77IjqPf79fIwzQ1NeH73/8+xsbGkJ2djWAwyCgrAHR2dqKjowMWi4U5fe+88w5isRgsFotmDE6cOIGFhQV897vfxezsLNcGXlhYwOLiIqxWKzo6OtDS0oLjx4/HVRShezc5OYlr165hbW0NsVgMx44dQygUwvDwMI87hasIITl79ixqa2uZT9rS0oJYLIbu7m7k5eWht7eXEWRJV5CncQDsXG1n6nNIyBA9iyoniCSQ9MKXoVAIg4ODmJiYYIeira1Nd+GVCBRdS09kVmYLUv/0kEIKcVZXV3NmNEUV1E2frqfKa7xXUVjpDAH6Wb6yTztJYpCfpTa/V3RPNaPvJY295eVlFsSWSUbq5qd3D1VTN0493qKKPm7F26T308E6IyODy7bZbDZ2PGRfJZKjJt5IlE7e/+0cZykqTCgzaaKSgHggEODxBDafXb2xJEqHNFX1QjUjx0WadKCAzXCoyq2X15MJUVJLcCdJUFupEcg+yPCzbDdJtADa+6/OF/XQ1tXVxeOpZiurY0EHSeonhcPlAVO+t6ysDAsLCzuqjvTbtj94B9BoEaOJpRe2odelkbMWCARQXFyMN954A9FolDlXZrMZmZmZOHDgAKanp/Hiiy/CZDIxmd+oJi+hXMPDw9i1axeAzYVo165dvKmRDAk5iyREXVZWhnA4jIMHD8ZlzHq9XgwMDMBut6OmpgaBQCAuzBqLxTAwMKDrgIZCIXYIZVi6uLgYpaWlaG9vh8ViQX19Pf7oj/6I0SZCIW02G8urADCsmLJdKTNC4N544w0MDQ3h7t27iEQiuHLlCurr63Hnzh24XC4cOnQIJpMJe/bsYXQzPz8fCwsLLMOi9z2JiYkIh8MIBoOYn59HUVERLBYLh8VJ0icvL0/jeOfl5WFmZgYFBQUs0g2AkdeWlhYkJSXh5MmTsFgsWFxcjBuDxMREXLhwAWNjY5icnMTKygpWVlZgs9mwvr6OhYUFVFdX8/X9fj+3OxwOo729HX19fUhMTERaWhqcTieCwSCGhoZQX1+vSZYheYOTJ0+ipKSEK5nQmBw/fhyJiYmYn59Hb28v3nnnHSQnJ+Ob3/wmvv71r29ZbUJ1UID4ShLqc0iLH2XjEQ93YWGBF2e15JLcUKVgK/29pqZmyxC0JLmrm5wqY0PIn976QKd3VStUOgCyvyoySf0m5ECvrdII/SAjx5dQJzWSoRcS1PsOI4Rsp+ieXkhedSCIK0ghPdokjVBM4J7eG/GIqQ8ZGRnsQEunkMKJ5FguLS1pDhZqX6XJbFJVkFj+/pOf/CROLkdKzRghLMP85gAAIABJREFURJTopJeoIdF0oinMz8/zvHc6nYyQURiSaAr0PDscjji+Ll2fxk49XNH/FH0xyuSmfv5/QaecTm3CiioDozcWUn6ovLxccw+lGgH1g55t2Xf6u1p/W44DjQsdqGQ/ZSk3FSnUGxO1nzKyAGgTScvLy3dcqvC3bX/wDqBq2y2KRAansC5lExUXF6OyslLD3aLsvLKyMpw9exavvfYaJiYmsLGxgZSUlLgNX0+bLSsri6tinDt3jmVGXn/9dUxPT2N2dhY+nw9f+cpX4qpOnD59Grdv39aEh9VqGFuFWdVQLE1SPW7euXPnmPAfDAaRk5ODkpIS/MVf/AXW1tbi+GK0IZw7d44RKKNQ73b3a3h4GMPDw1hdXWVS79zcHNxuNyfb+P1+PPLII3jiiSdw7NgxdHR0oL+/nyuqTExMaErqAdrwe0lJCQBwiFaVpiGu5enTp9kZ1avznJWVhWeeeYY1306dOoXh4WGuvEJjsL6+jps3byIUCqG2thbd3d1YX1+HxWLB0aNH+f/jx49jYGAAANgBbWhoQDAYZKK5xWJBaWkpHA4HysrKkJ2dzaixw+FAX18fj8Pk5CQ+8pGPcAa3eh8OHDiAjo4OJCcno7S0FFNTU/jJT36Cp556CllZWboont7pWM8p1DN6nZwh4ud2dXVpeED0XkIUaOMjPhYAw4oCZLJKBM0tCs9KSRPaTPTa7vP5mJso1xK1EokU3wU2nVkyNZxr5JzITVGvTi59h95GTs/fVgieRGFVSRfZTvk3dSzUEK0Mz4+OjrKcD7V9amrKsNwhjYea4UqZ4lL+ZGFhgZ0mqlFN49Dd3W2Irsg+yXZvV4KRwv5qtqhetmlCQoIG+aLxl/cG0B6KLl68iObmZk1WvBpSJekomnPk6EiuJiHjZPSsqOUO1cOOvAfqPZEO206dQb19lhB19drqwYUq6tD6Qf+r0QKv18vPvoqy6s1XtU10WKSwu5p5rxfGl2OkF1mUiCSgPcwMDg4yCk79VNe437V9oBzAhISEbRfF6upqPmG73W4WfPT7/bh58yZn4lJ4Mz8/H8899xxnDW1sbOCJJ57AzZs3OexGsil6lSb8fj8uXLgAn2+zKkZzczOys7ORkJCAnJwczM3NIRgM4h/+4R/w53/+53FhUxKils5MT08PnnjiCa69K4Wr1YdYDcUCYKkWqZX3yiuvwOVyYd++fTh8+DCeffZZxGIxDm8bIWx2uz1OeuW9mHRkh4aGUFBQgOTkZNhsNiwvLyMlJQUFBQUwmUywWq1YX1+H3W7H8vIyBgYGOPtahlLJ2tvbGV2dmZlhvqZamYXEok+fPo3y8nJN5Q89ZIzCu2Q+n0+3agwhq11dXcjPz0dFRQU2NjZQWVmJ5uZm2O12vPHGGyz1c/r0aU1ZOr/fj8zMTKysrOBLX/oSPB4PS/GQra+vo7i4GA6HA1VVVejp6cHExATsdjt6enpw/vx5zX07ePAgTCYTvvnNb3IixdNPP62pdQzcE7ndCnEzMr3FWVYQkBuFXGQJISSj6jYrKyvIzs6Oc2CMvlcNyZCpYtV6Riii3+/XrCVS60wiAADQ2trK7S4sLOTi8Vvpx1H7aAOUnEsSll1YWNCUuduJLIx8/qVIsd7nVX7YTh0A2kgzMjJQX1/PGx+hJHpjpKKcbW1tcLlcPEbURqIG+Hw+TXWYqakpdoQkL45Mzie98KeqGyhRKWBT106iUgA0+4PaHwDsqOvJq6iOFYVzpanON6FUcs7Rd5BVV1fzQY0cqVAoxPXgaWxpzYzFYrpC3/J79dosEV+r1Rr37OjtszsJ+QLQlOQzMmojUZtoPjidm+VSg8Egv7elpQXz8/NoaGjQDdPLjGTqt0Tn9Q5HW0UWJQKpHmb0+Km/T/vAyMAA8ScYPbibSPm5ublwuVxYW1vD+vo6Ll26hL6+PszNzeGBBx5glOYjH/kIsrOz8dJLL+G1116Dy+VCUlISHnvsMQSDQQQCAVgsFly+fBmTk5MoLi7G9PQ0EhISmPD/1ltvoaKiAl6vF+np6WhoaIDL5cLIyAgjXvRQl5WVoaKigidiamoqBgcH0dPTw/IxbW1tmJ6ehs1mg9vtRmVlJSwWCyKRiEZCxOvdlJ6hRbOwsBBWq5WlWs6cOYP19XW0trbipz/9KaLRKPMi6+vrEYlEeFyklAsZSZOkpKTwNdXv30kKPLXJYrHg6aefRnZ2Ns6dO4fZ2Vl0dnbCYrGgqamJpVocjk0JCpkw8sADD+Cpp57iNhQXFyMtLU0j0XLu3DmUlJRoFqrR0VH8y7/8C4cdKyoqkJWVBbvdzpl0epaamopIJMIyNnNzc2hqatKEa6xWK/bs2QOz2Yxdu3ZhdXUV+/btw6OPPso8PCn1k5mZyXy8jIwMjI+Po7i4GIuLi9i1axccDgeuX7+OoaEhvh8OhwP5+fkYHh7GtWvXMDs7i+XlZVRVVeHOnTv83VKao6CgAPv370c0GsVf/uVf6jq5o6OjjCADYGkIeq7kKZl+ljIytOGrXCIALBVBCzrJLBQWFqK8vBxLS0vIycmBzWZDQUEB1tbWeEzo+lK2huaZlE0h00syUeeklMTwer2IRqOYnJxkblhqaipLnJCUBTk8ABCNRjkMSihBbm4uLBYLI3wWi8VQHsXn28w2r6mpwdraGiYnJxEIBGA2m5m35vF42PExeqZSU1M1Ejhy86T+y/FR10dClkjKh1A+j8eDgYEBDAwMwGw2s0PqcDhYEiY3Nxc2mw2hUIhF4YFN5HRiYgLLy8uapKLa2lqUl5ejurqaK8JMTU0hFovB4/FgcXGR1y7asM1mM7cxFotp5h31aXR0FOFwGENDQxqRbj3pIiktQoehiYkJJCVt4ia0PxD3luavnCter5eRYL15NzExga6uLiwuLsLr9WJ+fp6fd7Xt6v0Ih8NxskgyHN/f34/c3FzU19ejvLwcFouF701zczNGR0dRX1+P6upqloeh0Ojy8rLGMZLzVH7fxMQEzGYzr2u9vb2aNY6cW3qOSSLHaH3wer3o6elBJBLh+UW6eR6PB9nZ2Rrn691332VuIKlNrKys4NixY6z8QYmCUi6nu7sbHo+HK3fQvSQgh/bd7cYEuCcJQ6gvcZFl24kyQO9V7+Vv2z7wMjB6Jjd6CZ1brVYWgkxNTcXbb7+Nvr4+lJSUwO12Y3h4GHa7ncO6LS0t6OjowPr6OpKTkzkJ4PXXX4ff78drr72GhoYGJhJTiBG4t1hcuXIFzc3N/PejR4+isrKSuQK0CbS0tGhq3epVH6HQcW9vL8rKytDX18coIdUSbmpqQk9PD9LS0tDU1MTi1pSgITmLALC6usrVL9LS0uByubasKUyI5NDQEF577TV85jOfYVT05s2b+OQnP6lbR9nIqE1O5ya/MDExEampqbywpaamoru7G/Pz84yuqqFYAHjhhRcQCoVY948kWk6fPh3XjqGhIXznO99BT08P8vLyMDQ0tOMSbbIkIPEHHQ4H7HZ7HAJ74sQJJCYmxiXE6En9lJeXw263IzExEWNjY5iZmWHHl/h+avge2KwsMzg4iGPHjuHatWu4dOkSMjMzMTExgYWFhbh7UV5ejqeeekrX+fP7/RgfH+fs6vb2dg0FYCuEXYY/AeNi63qkfvosOVJkhYWFHGrRSypQQ5RAPJpIvDG9z0u0g/h8lDRB4Sl56qefpYMEbG4UCwsLXB2Iwt0qd1ANIwHacLtMADFCn1RTUS81kYSuL+sOU5uArZEP+T+1SY69Hpor77/efJF9KSgoiJtHFLajv6elpTGFQM+Bl6E92WcZKtabc2SUlU5OrMvl4sNuR0cHnE4n0tPTNf0hWo1MJjBCtAsKCpjSIOfgVpQlvXuuonRyDCTvrL+/37C/8vNq5Re950yip3pyOnKfNarMQfquNBZ0L4uLi1nmifjBkrZBe1IgENBwBanPRmNTV1fHP7e0tGieQxpfdUy2Qvyo/0aInwo+7RQN/W3bH7wDuB3nj95DOmDA5oR48MEH+QYePXoUKysrcTw2cr4OHDiAu3fvor+/H5mZmcjOzsbs7CwCgQATkwOBALKzs2Gz2dDc3KzJrj1y5AgGBwdRXFysCRVnZGTg0UcfxcWLF5Gdna2bRCDDvlarlcPc0WgUw8PDyMjIwK1bt5CUlASTyYQzZ86gp6cHL7/8MmZnZ5nnVlZWpglNy0WgqakJb7zxBoLBIO6//37+3ev1coavzWbThJmvXr2KoaEh3gAnJiY4pf7q1asYHh5Gbm6ubqkyo/soH6CbN28iEAjgvvvuQ19fH3p7e3Hw4EEeH6dzU/meQrHr6+usZVhdXa3RFSQEQxJ/iXuYkpKC/Px8TE9PIycnh8un6bWJ/paYmMhOOYWug8FgnK4fGV1DOt1+vx+dnZ2GUj9+vx+lpaVYXFzERz/6UayvrxtyPr1eL06dOoWxsTEWNw6FQjh48CCmp6fxrW99CykpKXH3Qi9bVVIN+vr6WOIoIyODw09bhQp3cvLd7rMOh0OTTUuOExHntzN1MQf0w6dyA5GZrBcvXmQkgOQ5nE4nC1nL9mZkZHDm9cLCAmcA0oamZ6Ojozh06JCmjaQjKonyxH8yquAg+6GS/lX9U+kI6YXJ9ML8ZFuFshMSEjSOzvz8PFpaWrC0tKQpFybbqm6OeptlamoqEhISOCwbi8U4hCzDwWoIm3h5RPEhbuZWyTgUKenv7+fDh8Ph0PAGyWlWuZ8yrC3nHTlW9L2kE2e1WjVzWM/x2Or5kpnPpINJMjXAZgid5rXVauXkK3LopLPu9/s1GobENwyFQhpHjLQL1YQied/0uKZy3qilMsmysrLiZJ5k/6kaCz0bcp52d3fDarXyWMsMZHX89Bw+o9ekkYMr6/7q8R1Vp/x3if5tZX/wIWAjRX0VxpY3hB4ICgsUFRVpwqKSc9fX1weXy4XV1VWsrq7CbrfjyJEjOHHiBCu4p6SkoLa2FlVVVcjLy8P+/fv5BHf37l309fWhuroaH/7whzlhwOHYrFzQ09PDYTtgMwPxzJkzXA2kr68PeXl58Pl8qKiowPLyMlwuF1JSUuB0bmZBRaNRFBUVYWFhgZHB4eFhVvpfWFhAfn4+FhcXkZycHFdR5NVXX2X08ty5c5iYmGDB4aWlJa4wsm/fPmRlZSESiaC7uxu9vb3o7+9HUVERioqKEAgE8Itf/AIzMzPwer04cOAAPB5P3HdSGIr+V6tfpKamwuFwMK8lLy8PwWAQsViMS3C9+uqrmJ2dxZ49e+BwOBCJRPDmm2+it7cXbrcbDQ0NKC4uRjAYRGlpKVfLkPMG2Kz1u7a2huzsbDz//POorKzkcVErcvj9frS2tuLNN9/E4OAg5ubmcPjwYVy7dg0ul4sXwdraWiwuLsYhFUtLS4hEImhtbcXIyAii0SgGBgaQnJwMs9mMxsZGlJWVcWi5u7sbQ0NDqK6uxuDgIAoLC7Fv3z4sLS3h7NmzPE9v3bqFwsJC7N+/H8nJyXjiiScQDAYxOzuLlZUVTlgiaoLdbsfS0lJcSNLr9fKcM5vNePvtt+H1elFZWckyOsBmGMjhcCAlJSXu811dXRgYGMDKygoWFhY4lGi1WnXHXy8kSXNDonoksyM3bULXaRPUq/ZDz5XegkyhydTUVM62tVqt7PSWlJRgfn4e8/PzmioHwObmJqUqLBYLc+J6e3tx9OhRdhLUCh4UulP77fV6OUnC5/PBbDajvr6eEXAjSgWtgVR5oKamBtFolBOfKCyqhuWowoXR+un3+xGLxdDf349gMAiLxcJrit/v5zWOQvcUxrPZbDCbzYhGo3z/ZeUUahfdR3I2xsfHMTIywmG+1dVVAJsIVFJSEg4dOoRoNAqTyYSDBw/qhkaj0Shni1OIWQ1/UoWXwcFBDmHKRBaLxcKHV6LO0Gu1tbXIzc3FxsYGPB4PZ4zLKjk0B2ksSYKosLAQZrM5rhoV3VfSplP3KznXaf7RHCwvL2fZLgoZezweHDlyBFarFfX19QiHwzzmcs5NTk4y5aKrq4sPLpSFHIlE2Nmla5CjT06zrPoRiUSYygBoK3Oo43Ho0CHYbDb4/X5OeKNKP11dXQgGg1zZy+PxYHV1FZFIhBHa+vp6zMzMoKmpiaMcdJ88Hg/TB4BN3ViKFOmZ0TNF41RSUoJoNMrzv76+XgMm/C4qfWxn/xsCVkw9RcnfCakC7nn/alhUr0pFcXExOjs70draCp/Phy996Uv41a9+hTNnzjAva2RkhEV2KysrmeuRlpYGh8PB0iAjIyNIS0vjur3BYBBpaWmaBAVaXOlkT5N9enoamZmZ+NznPoeOjg5cunSJxYaJNL64uAifz4doNIq0tDQkJSWhsrJSEwaU/SwvL4fL5eINf2xsDL29vQgGg+jv72dn5atf/Spu3rzJ1TpMJhMWFhaQlpbGDkFtbS3u3LmDq1evori4WFPFhDKZSZxaT6dQ6ghevnwZ/f39WFlZQTAYRG1tLf7u7/6OuYFutxsf//jHOYP25MmT6OrqQk1NDRobGzUJMtL8fj+Gh4dx+vRpOBwONDQ0cDhUFe9ubm6Gw+HACy+8wMr9J0+exPDwMDweD/NAY7EYOjo68POf/5yTTai6i9/vx5UrV9Df348333wTZrMZDzzwAI4cOYKBgQE0Njay2DSN7+TkJCYmJvCFL3wBdXV1nCgi+6CKjFP4+oknnojTgZRJP5cvXwYAlhcCtGLoLS0t2NjYwMbGBmZmZlhQXE9TUqLwlK0JbKLG22lhdXd364YkCT3wer0cTlXJ2hKRkAkaKlpG8jp6yArpjlF7+/v7YbFYGJVdXl7GkSNHGEkzEh5WUQT5XSo6JVE3WcpNRdoIMZGOsB4iTWNPoUvKnKU2kmCwOj5bJcMA96omSKRYFfRV21tQUIDm5uYtE0+kGYWc1c9KsW1ZX1xeVyJcdG2j91H/9MKV1OdAIBBXrUYP4dFDZ+mwBNwLixolB2yHmhuFJ9VxIhkooi+oY22UJSvRTlonAPDaVlBQoEEOZUUfo2eCriv/pib6UBtpTkmkW44RZQwTMjs4OMjXov7IikX9/f0a+sN71eWkttK6Q+sDlayTtJn3C9JnZB8oB1Al98vJLhdfOSFUOJ7+V6tUzM3NcfYllW/zeDw4deoU0tLSYDKZGK3q6elBW1sbampqGMEJBAK4fPky7t69C5fLBb/fz2hTLBaD2WxGbm4u7HY7t7+lpQVnzpyBx+NBZWUlBgYGEAgEcPjw4f+HvHcNbuu6zoYfgBcQvAEEwPv9KlGUSEo0JUuWbYkayWos26qmniZpLo77jvt5ks7YM+k0zSRpkrYz6et0kibzNa3ztonrTpqOGkWOJdexTdGWbEuWSIriTSIBEiRBEAAJECAIAiQIEt8Pdi3ts3FAUnnjpF+8/hAkD87ZZ+99zl77Wet5FjweDwYGBpCSkoLq6mqUlZUhLS0NTU1NMJvNLDS8e/duPPfcc/B4PFtW4xAdxFAohFdeeYWrczQ2NnLOnF6v5zynlpYWRCIR7Nu3D9XV1RgbG8P8/DwaGxthNBqRn5/PWokAOG/w5ZdfhtlsxmuvvQadTqeaZ7i2toalpSVcu3aNy/D98z//M0ZHR5GZmYnl5WW8++67qKiowMGDB/k+mpub2bERtfDI5DCnyWRSSA+Izv/Q0BA8Hg8qKip490eh5ubmZpw5cwbnz59noeWGhgbMz89jfHycSRxtbW04d+4cenp6MDo6yoLNo6Oj6OjoQEVFBSN6AFBbW4vXXnsN09PTTO6hcoSUCjA8PIzGxsaEnMCamhqkpKRwXqHMagaAH//4x0nlc4hVbDKZ0NzcDI/HA4vFgn379iVoSoo5iOIioKZblsxIxwtAQj6SGG5TK1+2HRMXQjk/kF7o5FxSuoPFYoHT6WRJBxExI6PwJJn4riksLFQln6jZ9PQ01tfXuU10zxqNBiUlJZtKt9C5Refg6NGjCQuzaHLlCtHE9yflQ1Kfy+E1uTKKz+djCRgKkdGivJ00ne3aVrlV8sZe/q6aU0T3Q4s+tVEM4ScLXSfLs1tfX+f7FkOjauLjdH5R6iRZqFrt+jLQUV1dDavVqggX00/SRPX5fNDr9Zw3aLFYGD0cGBhARkYGAoEAlpaWOAIWDocVLG2x38jEfkyW/5lMwkXt/kUTx4PC1PPz8zCZTJibm8Pi4uKm82O7LHe1UD4xwq1WKyPqR48e3fJcv237SDmA4uDKyajJxEmTmVyl4vz588jLy0MsFoPH41EQPS5duoR9+/bB5/NhcHAQH3zwATQaDXp7e2EwGOB2u3H48GEsLS3BarUqQlnFxcWIRqNoamqCxWJBSkoK7HY7vvrVr2JmZgb9/f14/vnnOSGfnJyioiLo9Xq0tbUhEomw0PTjjz8OAByGfOCBB1BXVwev16taBk6tYofNZsOPfvQjLC4uIi8vDx6PB729vcjOzubdoMvl4s+FhYXscL3wwgv4p3/6J0YBq6qq4HQ6WUON9P5mZmaQn5/P4YuJiYkEhBLYQE6J/Uh5iH6/n5Gaw4cPs/NkNpsTiBZqL1py8HJzc/H666+jqKgIXq8XTz/9tAIFu3LlCubm5rB3715kZ2dzrldHRwfKy8v5nomMsrS0hKysLAwMDCA3N5dLw128eBH5+flobGxEX18fQqEQgsEgHnzwQc7vE++5rq4Ozz33HL7zne9gZWUFS0tLvKPNyMhAQUEB+vv7UV5ejtzcXLjdbpSWlioqtBAZyGw2s9j2rVu3EAqFuAKILJ9DLz7KJwwGgyw1RFVT5BxEAOxcUk1qyiOS55o4BmoOAQBVVI9+T/YMiy/97TgIIiKXmZnJlRhojhGSBShRCWL7WSwWxSaScrCoVBgtGOQE0TXF+uSyTtvIyAg8Hg86OjoU55Vz9OQaxWr3t11TcybFscnJycHExAR8Ph+L0ou6Z2poLN2PjMSpOQKy0XeSjaGMJm0mbyI7RXRPNptNMdY0XwkltVqt6OvrQ3NzM4fig8FgAqFEbrOaqd03tU10DkWUSSQP0XFkMuHCYrFgYGCAv6vX69HV1QWz2QyNRsMOilqfkzN66tQpJjNR+wjxFPvb6XSio6MjgeQlkkXkDdxmsk1qyCBpGcrkEXGsfT4fkwNF6SVKTRCJMHI1GtFZ3q4zKMtXFRYWMllFPMd2z/ebto+UAygvLLSbptqB97rzzMvLQ01NDSNv7e3tcLvdjIgAG2hKX18fpqam0NLSgr6+Pmi1WuTk5MBms6GoqAjLy8soLy/HAw88wEnSWq0W+/fvx+nTp3H58mXMz89jYGAAt2/fxvr6OrP1ZmZm0NnZybIHx48f50WeWLFtbW0wmUwANh6Quro6hU4dcHdhSCZWLYa/x8bGoNPpUFZWhunpaVRWViIajaKjo4PzKSoqKhgVkp02ymeLRqP8gqWFzefzsd7f2toa4vE4nn766aQI5bFjx+BwOLg82iOPPIKPfexj+Nd//VdUVlZyhRLxPjbTIiQHj1Bakq0IBoOMaAUCAczNzXHoubCwEBkZGdi/fz8qKio4tCtel/qb2Lv9/f3QaDTYuXMny8RMTk6iqKgIlZWVLKtCIWLZcnJy8NnPfhadnZ2MAtNGhNBGv9+PM2fOcCj93LlzihA1oXS1tbV45ZVXEAwGYTQauVZ0NBpFa2urIu2A7ufpp59OcKbVNCXlEDQtIL9KGSRCv5NZssVWDcUXUSmRQEBoDKVX0N+oz4ENJ0uv1/PLXmThEiFFNPGcIhnD6XSyTAQ5AyMjI9BoNIpQ96VLl+Dz+bCysrIlK3ezjex2HGG58op8L/Q7IZLkHItOCQDV6hey3euCKIdXt8vuBRKdHDkET5/7+/vx6KOP8rnlCjGUCyqHa0WHRXSC5HB6MqRT7R7VQt/0M1nYX3bSxfQJq9XKbFc1BE00cmroGuRMqc1tYOPZoOvStcnh8/v9qK+vT8oAlm27GwIACnF6mWEtlu/Lzc3dst6waGrIqdp8pee+ublZIXxO0kTklG+H/PbbsI+MAyi+ZIHEclSUeLqdc4gmV9Ooq6tDW1sbJiYmMDg4iEuXLkGj0eDSpUsoLy/HH/zBH3CZtby8PEQiEWg0Gk6alqVLvN4NbcDx8XEuP1ZYWAiTycRO4IkTJ9DZ2YlgMIjBwUFYLBYEAgEYDAbYbDa4XC6srKwgFovh8uXLeP7551FdXc3i1iKrmWRSZEaoWvgbAPLz8/G5z30Or776KmKxGEpLSzlXzWKxsFA1AAVyabfbWbxYdCLIgSgsLMQ//MM/YHFxEV1dXXjssceS1gt+6qmncOnSJVRVVXFO3yc/+Un+v2iBQCBp3p84xmfOnGGk7oMPPsCxY8dY0Pull16C3W5HcXEx5ubmYLfbYTab0draqhpSFvsPAJ544glUVlbi5s2bjAbX1dVhcXERGRkZyM3Nxe7duxPK+5FRviAlfl+/fh0dHR3IyclRhGfdbjdGR0dhsVgwOjrKIeo33niDQ9S1tbXo6+vj3wOBAPbs2YO8vDzMzc3h9OnTSftdrYyf6GTLda7Jgd6uADKQiIaRqYXb1F6wyRBG8RoAEhZ02UTRZDGMKsvGbHZvdJzVauUKDQAU0hrAXYkKq9UKj8fDRAVirCZDsJJVBJGvL39OhrgmuxdybsjpojJl4nfps4zCiSFAtfFyu93bjsQkcxS2cm6AzfPqRMkU6k+6D0o5GBkZ4TCqjDCq3Rs5AttxgLZCi2QGthpaptVq2TkiZyQQCDBSRd+l8nqyWSwWBTFCZDyTk2k2m7lf6DmQ0T7R2dwKDd2uJUOPFxcX0dHRwcLrwWAQaWlpuHHjBnQ6Ha+X4phtd+5vx4Ejogo5fDMzM/ckgP3bsN95FjCZLFBJjCpgg6VDL3PRRFadGuuTTBRPrqurQ09PDwYHB2Gz2eDz+ZCSkoJ4PI7W1lYcOHAADzzwAJbYBygyAAAgAElEQVSWlnDo0CFmGROLqKioCFVVVaiqqoJWq8Xg4CB2796Nubk5uFwuGI1GlJSU4PTp09BoNPjkJz+J8fFxXLlyhfPQysrK4Pf7cfPmTbhcLiwsLGB8fByRSASTk5Ow2+0oKCjAW2+9hd7eXiaNkCh1RUUFvF4vM0JlNp3ZbIbBYIDRaMTJkyexa9cuNDc3Q6vVstixKPoLbCx6P/vZz3Dz5k0UFBTA7XZDo9Fg9+7dqKmpUfQltffSpUtYW1tj57egoECVUaXX6xGJRPDSSy/B4XDA7Xajvr4eNptNMV52ux3/+3//b8zMzMDtdicVrgY2BEYHBwfR1taG5eVltLe3w2Aw4NVXX0V/fz+Wl5extraG7Oxs7Nq1C1/60pdQW1u7JePL7/djcHAQ2dnZcDqdCAaD2Lt3L65evcrs2IyMDDz77LMoLi5OmHfkpF+5cgXDw8NoamriTUJJSQlqa2sxMzMDj8eDlZUVPProo9i1axezph0OB/R6PR588EF84hOfQGZmJrOjJycn0djYiI6ODgwMDCAQCMDv9yf0E9lmgsMiU9tutzPTWqvVcqk5QqVpXqkJIXu9Xn5ORXa4/DJO1haZMSn/jcJsFM4TjxVFeMXjiTFJn0UWpte7IRRNMhoUFibR4Ugkgvz8fBQUFPAitHPnTqyvrzNbMhKJwOfzYWFhAUtLS4zG0CJM4X5qE7F8SZBYTelgMxOVEojNDICFqkVGKo0DMWMjkQj3B52DHAQKk9L4RSIRRglDoZCqYz40NISmpqZttVs0uY2bMTfpeGqn0+nE1atXMT09DWBDqsbn86G4uBjLy8soKSnB+vo6M7lpPPPz89lZF9E+h8PBjGsxP1SsN6s212h+0/wU1x/xpyigLrN+xdAwzaeKigqEQiGUl5cz8SoajfKx8Xg8ob+sVisCgQDnOoqMbVIIoPPqdDp+Dug8JJkjhlbla6g961uNW7KxpXaVlpYiGo2ivb0d6enpiMVieOKJJ5Camor77rsPFouFGeey2Pdmc19mcdM1RfQxJycHRqMR0WgUkUgE6+vrzMIW50Kye/gw7SPPAt6qvAwlr5KJoVAgMZSlhnyYzWZ0dnZyoi0tfKFQCO3t7QpG5cc//nEEg0F0dXVhZGQEJSUlzIb1er0KjT9id8qh3Y6ODtTU1HCI+I033sDJkyfR1taG27dvY2FhAevr69izZw86OzsZTQA2WJ5OpxNarRY2mw0mkwm3b9+Gz6cUpZZr5xJDl0gElHtIeWQkeCz3T319PZ588kl0d3fDarWitrZWUWJMvMbExASzo+VxUbPu7m68/PLLGBwc5Jc2kSGo3JnP58MLL7yA7u5uvqaacDURP8LhMBYXF/HBBx/gwIEDaG1t5Xw4jUaDlZUV7N27F42NjXjggQcSSkkBiTt5URx7ZmYGJpMJ4XCY9f5op+hyuXD58mWsra0pygdSWT+S57h27Rojd+JYHTlyBC+99BIyMjKYYEM1p4eGhmAwGPhlJLOjTSYT3n33XQSDQc7P3K74tWxinWtiJ9P9v/POO3j++edZ1Lunpwepqaks2E0mzg9aSO41nCKPg4yaeDwehVaabOJ3RbKFWhhW1CoTnUuZoEL/J4HhZEhWKBRSsIDlkKRoIrPxVzU5TCeTDCj0K+a/qTnksqYbHauGVtH9iUze7Zh4XTHMpjY35NAoXZ9IYfX19TCbzejq6kJhYSE7rf39/aiurt4yX1y8N/qu1WpFYWEh6/2JRBm1uSYSJ8Tf5dB3MnayGvJpNps5/CymOaldV7T19fWkIdMbN25wHWYyp9OJcDiMHTt2YH19HfPz8/x36h+x7q3ae5LGJhlSvZn5fD4mt4j3TOcXLdk51eb+Zvm1YntF5BNAwoY5WY7ob9t+px1A8YGPRCKKFw7t5Oj/pGcVDAaRl5fHC+/g4CAqKytVQ1ny4t7b2wuv9644cl1dHY4fP47e3l7OoyInKi0tjfXZysvLkZaWhtHRUaytreHWrVuIx+Ncp9bpdKK3txeRSISZxMQWm5ycZObve++9B51Oh97eXsRiMTzwwAO4du0apqencejQIVitVhQXF3M9329/+9vsiOzatQuxWIwdgfLyckWuHDkvQ0NDePnll1FSUsIkgrW1NaSkpHAeWTIn2Wg0oqWlBYuLi2hpaUnI6RKdsPT0dHbmDhw4wGFl2Ww2G+e8FRUVweFwYHl5GWVlZcjJyUF/fz9+8YtfALhbuonCbyTqnEzW58CBA7BarWhsbGSiCf1MS0tDY2MjDh06xAQIMXeSficnma4hk1yqq6thMpmwY8cOdHd3K0pO9fX1KeYdOd3Dw8Po6+vDwYMHsWPHDsXGwmazMYNXZE7X1NRgfHwcGRkZqKqqwsTEBJ9vcHCQ0YOHHnoIPT09MBqNTB7ZbrUW2fx+P9588034fD6cO3cOlZWVnGTvcrnwrW99Cy0tLVhZWYHL5cLc3Bxqamr+r2UU5IWeQqwAFOK7ANiZ3k7YUXQ45PwusXaoWshLdhpo0yGG1qg9lJtM1+nq6oLFYkmQN1FzvGSm7mb9t9X36fqiAyKGfjfrM7WwlxguFx0XEoaPRCIoKCjA2bNnAQA1NTXMIldrq91uT2jbZrZVbpnFYuG1ge5PLZx7L/cm530C4PCgSBTyer0s7E15pckYwclMq9Uq5k44HGaHhEKx5LCTk3QvzxdVj1lcXOS2EzLd3t6OGzdu8CZkz549CsKX7PzIzxJZsty77bTVYrFwnW26tkaj4fVsK5PHVUSzfT4fO3/A3c2DnHIBbITLiSAl2/80MsjvtAMoGzGoxPg+iWXSzv3GjRuKklputxsAFGxKeUEUy37R4mWxWNDR0YHq6mrOgxOdqIGBAdTV1SEcDiMnJweNjY2cqB8MBrG6uopAIAC73c5MS+AuEikSJ6amptgJWllZYcax0+lk58Dv9zOpoq2tDR6PByUlJcjPz0daWhqys7NZ5V6USQHuMmOHhobgcrm4KsbY2Bg6OzsRiUSwtrbGaNTY2Bg7HfSioHMQPB+NRhWONPUhsZXffvttZGVlQa/X4/Tp0wCQQE6hMnxe70YNTerHZ599FhcvXsSrr74Kg8HAcitpaWkoLi7GwsICDh48yA6oxXI3r3FsbAytra0ANvIFxb7QaDQ4duwYF1knBrWst3f8+HG8+eabsNlsuHjxIj772c+ira2Nr0EkF5L2eeKJJwAA6enpuH37NhdwV5t3omVmZqK1tVW1P3w+H88d6jOLxcLXDwaDaGhogNFoRGVlJQBwhRen0wmj0Yg9e/Yo5sG9mOhUV1VVwe12Y2lpCcFgEC6XCyaTiSUTaNMVDAbxzW9+E5/61KfQ0tKiePmqsSFFREE0eaGXnS9xd6+mH5jsBZ0MeaTwETkMcik0Oq/YN8ly9mTWJHCXeSxKkFAfiNegz2Le12aLzWYkD2oPnVtu82ZVFeg8siMutk3si7W1NRZMtlqtOHLkSMJ51dpKBJrtEivEa1L6BUnrUG6YRqNhYhCQyFa9F3Y1tYHmhegIUf+J7c/MzGStRpI2oj4jFjkZ5dgRkuj1blSzIgdDRvrkeUl5juSUbsaapms4HA5FFRVysMhhlTdWOTk5SQkncgg+2bzaDPVXG3tRtBsAjh49ihs3bmzrHSbPfUIOxXzQa9euITMzExqNRhXZ9/v9qkg8rTX/08gg23IANRrNSQB/DyAFwP+Jx+Pfkv7/RwD+/L9/DQF4Nh6P3/p1NvTXYbT7N5vNDO07nU5FAvPi4iILHdPgkgivzHoElLV4RSIISWMAd1+G5EQNDQ3x7qCiooJJAD09PfxQdnV1obi4GBqNRlGnVpZk8Xq9isT/QCDA+nG3bt1CS0sLbt26Bbvdjp07dyaIORMKRKE3tXukBdXn88HlciEajXIOCAlPT0xMYGFhAW63G1VVVSgsLFTUFyYni9Cr1tZWRuCoDwsLC7GwsMAK++3t7ZidnUVPTw+XMSN00ev1KpzuhYUFrK6uoqmpCWtra5iamkI0GuWSW9nZ2Thw4ABsNhv27dunYAcDynDl6dOnYTQacenSJQVyOzY2hqNHj7LG09jYGAAoNgwUUqU8nampKTidTnz5y19GW1ubQjqop6cHADhk/kd/9EeMohKZRhwTsXxgS0sLE1ro5SKKdtO4iQxeImj09PQgGAziJz/5CTIzMxEIBLiqgrjxqaioUKCuyWQN1Ha1olNNz9Hjjz+O3bt348UXX0QwGERWVhbq6+vxy1/+EpFIBGVlZcjPz0csFlOcSw53qTE66Zri38hhEUWP5bCtKGuRzOj+NgthEuoiRxaARG09OQQmX5vyrwYGBhghJPKB6EQQGzQZqkUL11apCWr3q6aWIOotajSaLdGprRA3Qk5FpuTS0hJmZmaSJs6rOZUAFOMoO0Fqc1MsgwfcdbLJiaEoDgEE97Joi3NMZOxSqgGZPCfp3V9VVcUhY1FUWfyenAogO0rk3AIbjsvExERCCFauWysa/U2cKxR6FjdV8r2KzyrNe7WxFJ8lWU6I7mcro/sgaR4Ku3Z1dWFlZQWrq6scmqa0ha3mrMzIp8o7NL8oWiCG+2WBcDIqU/c/2bZ0ADUaTQqA/xfAcQDTAG5oNJpfxOPxYeEwO4CH4/G4X6PR/B6AFwEc+DAafC8mvoDUBoMeArPZzPB7aWkp1tbW0NraCrPZzFImZrNZIYVCjouM/IiyJ7LUQG1tLaN0FosFkUgEU1NTaGhowK1btxAOh+FwOHD58mWkpKSgtLQUOp1OUadWljKxWJS6bGpIUWVlJS+Gspae2WxWOAlqzE4KK5pMJuTn5yMcDnNS9OjoKNeXrKqqwuDgILKysvDXf/3XqKmpYYeNwsRk4XAYfX19SElJYbSMwtEGgwF79uzB7OwsCgoKAIDL/Yghzn379mFychI9PT0YHt6Yjk6nEyMjI8jIyEBtbS0nc5MTT+Fg2cRw5ZtvvqlaUYPamJWVhW9/+9scBj9+/LhCLLutrQ0vvfQSpqamsLKygtnZWbz00kswGAzMEic5mGAwiPn5eTz55JOoq6tTlVcRx0R0qnJzcxXHif+TNyE0jhcuXIDVakVGRgYuXLiAyspK7N69GxMTE2hoaFAgjuK8kHNi1T7LOpJqsjATExN45plnuG7utWvXUFBQgFgshoKCAgViqSZJpGaEEMq5QxaLBVqtFg6HI2n+DaF3yUxESmSEg6pAiBtIyuVMplcoOzBqSJqYfwUoc5Nu3LixqROxWZ4bbURl5Ee+vuy4tbe3K5wq+m6yhVTNIVczCieLOouVlZUoKSlRRRBHRkYwMzPD0YrNzrsdh436BgAjwbTQl5SU8EJ/r6iN2rG5ubmYnZ1N+Dshg3TtYDCoKFMmO5HbMep/cmqdTqei1KI8fzYLNYsFE8hpczqdHFJV+46YHyseI44nIdokwybKCRmNRoX4uYj6A0hwyOvr69k5pU27mL966dKlbev8ysgkXZeAoqqqKu4DkbmvZlTrWm0e/yobiw/DtoMA7gdgi8fj4wCg0Wh+CuAJAOwAxuPx94XjrwEo+3U28tdhhYWFinBSOBxm8eFgMMjFxcUEW5PJlFDayu/345133kFLS4sC+aE8vaqqqqSLV11dHZ5//nl897vfxfLyMubm5lBWVoaqqir09fUhFouhpqYGPp8PRqMRs7OzzOwUJ0pKSooCnZJ12YC7yfavvvoqioqK8PGPf1whueL3+9HX14elpSVFP8kTUg6zZmVlMTPR7/czw8lkMiESiSA7OxuFhYUYGRlBeXm5Ikys1+sRCASYwDA0NIS33noLOp0OWq2W8+L0ej0XAT9z5gwA4Pz585iZmYHFYoHBYGCmZVFREYaGhjA/P4/U1FRkZWXxQ1xSUsI1fEn2ZmpqCjabDfPz83jqqafYkRbDlTabjUkkExMTqKys5Ny9qakpRsgoDF5ZWckEDXG8nU4nZmdnUVFRgYyMDAVad/36dQSDQdW8UlmrUBwTsQSebGqi3eI4vvLKK7h9+za8Xi9KSkqQm5uLjIwMXLlyBenp6QrdQDnULhJkgI3wuPiZng8iltD3SSsTuKuJ2draigcffBDABjv/yJEjmJqaUiCWamXsaFFRS6AXqwCIphaOudfFXA0pUQtrifISm51PDPGKjhkt3LTw0OJN0hIWiyVprpm86N7r/WxlohMkhoZF2yyZP1l+FfUDsJE4L5YKlB1pMaQKqEsEUS6dTFAQBX9FI9FqtVzM7dyrmtE6MzMzg6WlJUZiV1ZWuC1EmJCvSSik2rkpB4+OE6vCyFqWwEbY0eFwANhwkkS0VES41Jw/AkXEzcelS5fQ3t6e1FmksKlaaFlNJkZEsin1yG63c8SI/pdMA1G+ttyXwWAQ165d4zVqs3lARsgvcJfMQxqXfr8fDocDubm5nNuoNtfJxEiM2v38tp0/YHsOYCkAh/D7NDZH9/4YwH+p/UOj0TwD4BkAioLfvwmTJ6A8sWQv3ev1Jjh4VKrNarViamoKp0+fZsTFaDRycXs1x5EQwerqavzpn/4pxsbGYLFY2PGgvDOXy4X6+nqUlJRAo9HgM5/5jALF8fv9CnFpKtMl66/ZbDbcuXMHH3zwAXQ6HYaHh/GXf/mXvLjK5b4+//nPJ6AsYh5XdXU1w+rZ2dmoqKhAV1cXU+2/+MUvYnZ2lkPCJpMJaWlpKCoqQm9vL9LS0mA0GpGWlgar1arIRVxZWcH6+jrnxRkMBs5xOXfuHDtzxF4dHR1FS0sLhoaGcOHCBayuriIjI4MTnIuLi/Hss8/CZrNhaWkJRqMRXq8Xb7/9NuvudXZ2Ii8vDzk5Ocx4ppD4ysoKkyUoB7SgoIBLvplMJqSnpyMtLU2BqIoagG1tbfjyl7/MbFwR2QKQEB4V/5eSkqII+6q9KG7fvo1YLMbooZpotzyOFD70+/2MoDY0NKCrq0uRPlBTU5OQ/ykTZBoaGvhzS0sLnE4nXnnlFVy9ehUGg0FRC5gKydN86+zsRHl5Oaqrq5GbmwuPx4OmpiZGLMVryg4ypQuQdqZIlrhw4QIKCwvZ2V9fX1cNAcv9qea0JUPS6Psym5EQWXlR38wpIwYwAAW7lhaXxcVFlJeXKxbEZCaGsWWkr7S0FAMDA4jH44wKkfOwVUhMZCB7vV5FOFvMESMHI9m5kqULkKQKVdGxWq0cRpMXV9q8k4kKAeJ4qREU1NpD571w4QJXsaBreDweBgjU5s9W9yqH+Gn+UN42Ob1yP9A1qC10TzReopCzXAlHdpQIGVMLj6uNjdyXlNNN907CyluNsbzBUHN26LmljYvT6WQ0XuzbrTRDxZAtAEYmRd3OrdjzMhlUvC7lY9M1xDD4Vqze/wkO3la2HQdQTYcjrnqgRnMUGw7gYbX/x+PxF7ERHsZ9992neo4Py+SXjtr/7Xa7wmuXw22hUIgdCBJ27ujoQF9fH0ZGRnDp0iVEo1G8+eabMBgMXPuWqi0QMmI0GpkgUVNTo0Durl+/jmeffZYFfL1eL/x+PzuQb7/9doK49JEjRxQPQW1tLX76059iZGSjqoDBYIDT6cRrr70GYCMMR+W+VldX8d5776G8vByPPvpoQhhN7IOmpibU19fjpz/9Kbq7u9nxCgQC+NnPfoZPf/rTOHbsGDo7O7Fr1y5oNBqEQiHcvHkThw4dYpHh8vJyzM/PIxAIMFOaqlX88pe/xNWrVzE4OMhjEQqFkJuby7mSwIZg7PLyMoCNh97j8SA/P5/D1F1dXQiFQojFYjh79ixXZqESZ9FoFFevXoXRaITP58OTTz6pyM8jB17OxWtoaOC2ykiZ/MC3tbXBYDCoCk8nQ+tEMe7h4WFFSTmau2+//TZsNhuHTWRWutqLRxzHkydPwmQycVlAUa5ELdxKlVEWFhYUBBnxc2pqKq5evQqr1YqioiIAG1JDlLtJeYY6nQ7RaBShUAhvv/02cnNzsbKyguPHjyd99sS0BhEV7OjoYJSMHBWqPEAJ64TwyISRzcgD9CzJm0U5TCqajCCpmcxoFL9DyA8tLvS7XKheRuKSXcNisaCqqorPRyFNup/c3FwFEqLmGIhOCJW3EsOk4vm2i7zJjhPl/9HfyOmSczzFnDbZIQHurXpEMhPPQREW8XxWq/WeF3UxbCq2XVRAIGednHM1pG4zZHAz02q1ClRWDHEm25xQPxBRhhxTiuyIbRPvIdmGSc1o7tM8Eln6stH407XFNtD90MZBJMKQbYXKA4mosojwkyQZXXM7lux5SnYfvy1ncTsO4DQAkUNdBmBGPkij0TQD+D8Afi8ej2+dwflbNJGJFgqFeCDoJSe+lGiRNpvNmJiYSJADicfjiEQinAuXnp7ObLI7d+4gHo+jsLCQZWWGh4eRl5eH7OxsWCyWBMSGFnJZA47QFACIRqNIT0/nNpDRpKurq8PXvvY1fOMb38D169cRjUbR2NiIT33qU6iurkZNTQ2mpqbw+uuvw+Vyobi4GPPz84ocPTrX2tpagmNEIdji4mJMTU2hrKyMhTONRiPntsViMQwODjJZ4w//8A9ZzkVEuQiJCwQCmJqagsPhQCwWQ19fHzweD/bt24eqqirs3LmTnbHOzk6uYKHX61FXV4f29nZMTk6isLBQgU7ZbDYEAgEcO3YMHR0d6O7uRnFxMQwGAwoLCxVOFPW/mnNG/6N8TLHKSbKQUF1dHYxGI9bW1hKOkceenLv+/n7U1dWhs7OTpX6efvpp5OXlISUlBQ6HA/Pz8+jq6uIKJcly5MRUBPGexFJ1Tz/9tCKlQMxxJd1HYgrLxBQAzEBfXFxEcXExXC4XcnJymPVbWFiIeDyOqqoqxbNHoaGJiQlFniv1jdxeGRUcGxtjmRByFOlFLuYEqeX/JHMY1DaH4ndk28qRFB0eWU8M2ECfIpEIP0+UtJ6VlYU9e/YkbYt8Pfos5vttlp8kWzJGMP2N9NXkexFzpbaDvKmZeF3Zkab+JQdI1GITnU0124xIIl6TcrUoxEoms61HRkYQCAQ2rS0szwey8vJyBAIBVcd0s7A89a9crlROgyDUUHYwnE4na9SK50xGfLJarXA4HCzKTqXNqK64mJso9yc5lvSMiyFSmWVMKPTExASHykn+R6/X8xyiayVz7un8DoeD55+YtwjcHb9k72i73Z4g4yTmOYrr7GabL9G2ep7EEPhv07bjAN4AUK/RaKoBOAF8HMAnxQM0Gk0FgHMAPh2Px0d/7a38EIwGIjs7W+H9y964KHDc1tamqDsryoN4vV5eCPfv34+jR4/iRz/6ETQaDX70ox9Bp9OhsLAQr7/+Ou+q7ty5g89//vMJqJta+Fl0UN58800sLCywPp5azmF1dTW+8pWv4N1338Xk5CQ+85nP8IKQl5eHxx57DMFgkGVHAoGAotbtrVu3FLV8qeYxhYM1Gg0aGxs55FdXV8f9FAwGkZ6ejuvXr8PlcqGpqQmTk5OIxWIsVwAoyQ2kIzg+Pg6v14u8vDzEYjHk5+ejsrISgUBAwUpdWlpCX18fJxO3t7fjxIkT7DS3trYiFArB7XZzXkdPTw9Onz7NdYrPnz/PY6mG0MnOmYz+0E+1fE/x+JSUFM7ZE8vkieeg46iSycjICAwGA5qbmxEMBhVafoFAAEeOHFHVaxRNLY9OLTwsOv6i00fkHNJ9pIVS7puHH34YKSkpLP5qNpvx/PPPw2g0KvL+PvnJT+IHP/gBDAYD/H4/aw3KxKRkYyCz88kxpJzeYDCYELbz+XxbaoCJYSa1F/dmL/t7RZ7kxZ4WgbNnzyrkXsTNqCwBoiZLIl5bbL8YAhNzxkpKShTOlJqJzkwkElEcr9VqFUxIAArWqtp5xHZ4PB4WSRZZxnT/YhI/ACaxkXNATpGaE0bOkRoCI6NhwF2pF9F5FmVTaFOQmZmpQGmTOXPJFnk5b1TsXxEppHuh/5MjJEuOyNf1er2KvDpqH6VDiBsQ6jO5nwhFo7ZQ2UM6p1rOm9omZ7PnQkxPoPnidDpx//33c+6kWMN4O0Qnn8/H4ysLOm/laImhdyKD5uTkcOUktXn2f4vYJctZ/k3blg5gPB6PaTSaLwD4JTZkYP4lHo8PaTSa/+e///+PAL4GwAzgH/47LyMWj8fv+/Cafe+WbKcuJn0CiWrfRIIYGxvD5OQkOxCyPMjp06d5oWltbcXY2BjnkZHWGUmlEPy/3dCrGAI7d+4cDAYDNBoN12lVW+jz8vIYffL7/QlogNFoTJAd2b9/PwKBAF544QXMzc3hP/7jP1BVVcXntFgsCrbrE088gcOHDytCnIRYOZ1OtLW14Z133sHc3Byqq6sVTijdJ41NT08PZmdnOUdNq9XixIkTqKioQCAQULBSvV4vsrKyoNFouDxTQUEBjEajAq28fPkyJiYmUFJSwpI/o6OjqKqqShChVrPtOHgUsnU4HFx1BFCyZH/84x/z5oBehrK+HvVBIBDAiRMncPXqVZjNZszOziocJHEMSKNQzQHcLI+OTKwpTOgrsBFev3jxIjQaDZNzDAYDZmdnVUXQ6TP1fW1tLefhkYVCIdhsNhiNRs6t3LNnDz9LyZxYcQzGxsYSmPZ0DD3fxFjt7+9Hbm4uqqqqsL6+nuBQ3Ivd63fkhf3SpUscrhQT9SkHj0xOuFdzMOT7oPeYeF4x8V5tIZQdCxGlAdTD4FarlXXdxD6R0SS1vqLz0Pnb29sV+WGykyQv2GI7ROcgGQKYrCKK+P5P5qDQ38gpIESMrL+/n2VwtnL25epTakQY+qlGsKD3S3t7OyPZ29GpFFFZ4K5+HzHiAbDGoOj0kokouPh3mRAj5muS0bzbjCSTDPEk55zKGQLJBbsp7NvX1wezeaNMZldXV0Kbk+UQJmPjFxYWsh6wWNFlO3YvbN/tpIz8JmxbOoDxePw1AK9Jf/tH4fP/AvC/fr1N+/Wa+FARwQCAYqdBO2Nx50eECpIgqaysRO9eBtsAACAASURBVHNzs6rj1dHRAaPRCItlI0l8cHAQbreb89x6enowMjKCy5cvJw29kqmFwC5evMiJuRqNBqOjo4jFYhxiVWOUqu1WRIdGZA/7fBvl0t566y3uD7PZjOHhYVy6dAkPP/xwQmhUJj+ILFWHw4G9e/fC6XTiK1/5impIil4UDQ0NuHjxIjweT0KOmhyKtVg2pG/U0FhgAykiQe3U1FQUFxeztElDQwN6e3u5ODrp6ak5NoSOyc41AK7y8d577+G9997DysoKpqam+CUZDAZZEkfMt3z11Ve57i6FdemeKNfO4/HAbDbj2WefVTC31eYFtUVNu3Ezogk5rv39/XC73XjwwQcVYXO3283kHHoxFxcXqyJ1ouxLTU2NgshBfbywsAAAXAeacitFFnayUDZVexGfM9lhFJGdzUJqau0GEkOpwL3n5sgag3QuGZWhn6T76fP5oNfrMTAwgP7+/oQ2bSWKbLHc1bUjR0KNpUz3LArbkqktVF7v3dJvkUgEExMTjNTRseKCp9Vqky78m4XWt2vbYQEnMzFHURTf1mq1CmdJDrHW19cjLy9PQYoA7pJi7mV+qB2rNpZim/v6+tihJTkS2WFTu46ocyjq2AFQCBiLaRfkwND/NBoNRkY2SiQGAgEFakV9GQgEANzN3QyHwwoNQ1oLZZP/Rr9T6Hg7fSjLv5w6dQqAcpMkO28yaUS8X/EYcTPW39+/rXmmtqkQCTCyDM7/X3IAf2eMHrZkNf9IEkUcmIaGBrz88su882xoaOAdzmY5SQAUeVOU59ba2opYLKYaepUngRgCs9vteP/99+F2u+Hz+RS5XyIqtFXprmRhQSpB5/V6mV23trYGp9MJk8mExcVFpKSkqLJM5Xavra1Bo9EgEAigsbERWq0WHo9H8cIk50oMN2ZkZGBlZQWnT59W5NephS0tFgueeuopRe4a/Y9yAyl8Wl5ezmFfsdIFMQ/V+sxms3FJPpkJTjmO3d3d6O3txXvvvYelpSVkZWVBp9OhvLycpWKysrJQWloKt9uNYDAIg8GAtrY2DuuK4065M6Ojo8jIyMD169cV9ybPC5/Pp0Cn5fJ7eXl5qvI0Iiu4rq4OIyMjXEeZEFd50zIwMMBIoSwvQ86bz+dj8W/RoV1YWGCHT5aJSYZei+Nw7tw5ZtA7nU52qOW+EReVrXJ0xDCUrO/3q+bmJHuJJ3MUKisreZF2Op28gAEb4UO1RcdsNrOGIlkyZ08mjIjkE9IwFN+Das4I/d7V1YV4PM7ECLlNADjMSCiUiMwSara0tKRgZsuO1FbhdhFVFlGUZBEeMXyemZkJAAlOFL1DtwrrkqO4lWg4tSMzM3PTRV5E6tSYxuQ87dixAzMzM+zYq/UvoBRX1mq1CueGjqFcRDLZERHv7ejRo9xOQvro2B07duDChQvcJnpmRORaBF3U+pSuSUbnprQAudKJ2nmSzReahzIaLM5xGRxRk1SyWq0JdX3JaFOzXedNvO6vSlT6dVvK17/+9d/KhV988cWvP/PMM7/Ra4qDTy8Dn8+HiooKWCwWLCwsQKfTYceOHbBYLAiHwxgcHITX60V+fj6MRiMMBoMC5SPZk9LSUpw4cYL18UiHb3l5GXv37oVer0dmZiZMJhPKysq4JF1ubi5OnTrFL2hqF1lmZiZsNhu+973v4fbt2zAajcjIyMDBgwdRWVmJzMxMLC0tYffu3Rw2Teb8iQzSoqIiuFwuaLVaFl7V6/V466234Ha7sbq6ilOnTiElJQUulwsjIxsirM3NzZu+pOlBLS4u5r4hceSMjAxkZmbC7/ejq6sLly9fRnd3N65evcoIBDF+S0pKkJmZmfDg+/1+dHd3A9jYyRYUFCjas7KygsuXL2N4eBh2ux27du3CmTNnkJOTA5vNhuHhYRgMBiwsLKC+vh5FRUU4deqUos/sdju+973vwe12Y319HRkZGQq5CofDgbS0NPz85z+H1WpFOBxGWloaMjIykJ6eDgAc7s/KykJhYSHa29uxa9curloizhe65gsvvIChoSFMTU0hLy+PJWyMRmPCvJiZmcG5c+dgs9kQj8d57sbjcT6n3+/H4OAgamtrUVpaCq/Xi3A4zHP3zp07uHLlCtLS0pCZmQmz2YzHHnsMJpMJJ06cQFpaGkvjzM/PY3p6GuPj46ivr4fJZOJ5Pjw8jN7eXvzXf/0XZmZm4Ha7Wftvfn4ehYWF7NxQe3Q6HcLhMLq7uzE8PKyYj3S/fr8fFy9exPT0NGZmZrC2tob8/HwEgxv1ph0OB2pqavgFLfZRss/i36LRKHbs2MGOkMViQSgUSopg0XnUntPNTO29Ew6H0d/fj2g0yvMlNTWVj6F20LW8Xi8cDgcikQh0Oh2fOxgMoqSkBJFIBB6PB4FAANPT01hcXITH41EksNP1vF4vUlNT2RGjNkUiEVUnxeFwwG63c5/Z7XbMzMwwOzISiTDqvbKygtLSUjgcDlgsFmRmZsJisSAajSIYDOKRRx7h55yqLKiNVbI+Hh8fZ7RGp9PxMXQdQiVpPOlZIASzvr4ei4uLir4W1wKxz+V+IOLdZgt+OBxm3Tlin8vXoT4l5QJKB6iurkZFRQWcTidu3bqFoaEhpKWlYWhoiCWtcnJy4PP5YLPZEIvFOO2ooqKCHTG6b3L2I5GIoj9CoRCqq6uRmZkJj8fDqKbdbucxdTqdPDfF+TswMAC73Q6Px8NyOWIOnsvlgsfj4TJ9dL5kz4s8fsBG6JxAGho/mk/Jvh+LxRTrgMfjYcd3M/ScTJz7DocDmZmZcDgcuHXrFsrKyni++/1+vs7Q0BBHSGhc6Vn1eDx876KcD13fbrcrUMcP277xjW+4vv71r78o//13HgGUd4Zi+DcZPE0mhtGoZNpm4TjKTxORQbfbnYD0UMUHUcyXBKZlVIMIITqdjs/X0NCA1tZW3hETApMMKSNLSUlBPB7n5HsR+fJ6vRgdHeXaxVarFWlpabzgRKNRvP/++6ioqEjIWRTvQQzlyfl4APDQQw/h3LlzHHqsqalBWloaVlZWMDExoehjm82mihbZbDa89tpreO655xJQgJ6eHrjd7gSSRH19PSwWi6IUHYUgZcTpe9/7HgYHB3lu7N+/n3PVfD4fJicnOVSXn5+Pnp4erK6uIjMzEw888ADi8Th6e3uxvr6OwsJCBAIBmEwm5OTk4MCBA/B6vYp5ZLPZ8P3vfx+jo6PIzs6G2+3GwsICqqur8eyzz6qG8Ckk+sEHH0Cr1aK2tlZRfg9QSqYQ2grcJaKUl5fDbDajtLQU58+fx+joKGw2G/7iL/6C29bS0oLLly9zCJgErePxOKcepKWl4cKFC4hGoxzmF5HS3NxcBAIBRl9FeZtkYWrxOaJz5uTkwGQyYXx8nKWNkqHn4jMs2mZyFZu9D+RE983CnDKKJifO008xTN3a2qrIp6J2iNdSy4siRIiOofeb0+lU6OnROO/YsYNDp3QNEUGk78t5gBSWk1EL0rMT9RipukMoFEJ2draiDynispUl62MxDLkd5EUcb2IO5+TkqCJyan0utod09DYzcSyShajpGOo7WeJFJmKcOnWKCSXi2BO6layv6FoyK1kkDlF/io7zyMiIAiEVv5+bm4s9e/bAYrHg7NmzrJ8oXl9u570YpRxsR7pFtPr6ei6hCIDTFQBwbWciGcmkkmQIJaG+1BZRHsbr9Sa0k8ZBLRQsHvM/yX7nHUB5MIDEl5goA0O/00OyWXUFIJGpKDqNW4VkaYEkptHo6KhC3JkeLDofAOTn5+O5557jJHu1/DQg0RkTjzUajdizZ48ib46uMzw8jFu3bil21J2dnZibm0NJSUnSnMVkobza2lr85Cc/wc9//nOsr6+jq6sLBQUFKCsrw82bNzE3N4eamhp85StfUeS72e12fP/734dOp+O8r7GxMdhsNkxPT8PtduNb3/oWDh06hMcff5zDOBaLhdEQIkkkQ0TpvoG7izeRd8jRMJlMaG1tZdLI2NgYzpw5A4vFgvn5ebhcLhQVFcFoNKKhoQEFBQUYGBjAAw88gGvXrrGkCx377rvv4plnnuHxpXPqdDqYzWaMj48jKysLLS0tMJlMLI9CbfV6vXjnnXcwNjYGrVYLrVaLrKwspKam4l/+5V+g1+sxODiIyspK3oTYbDb09PRgYmIC6enpcDgceOqpp3Ds2DH09vbi5s2bWFtbQ21tLbxeLzo7O1mDrq6uDs899xy+853vJAhaWywWDA4OoqenB7m5ucjJycH8/DwsFgtLwBQVFWFiYgJnz56Fz+dDQUEBLl26BJPJxHmQTz75ZEIoX36OqLSd2WxWMIu3KhMnL05qL+fN9P02O5dsoqMnM1/VQpLUBqvVivvvv19xfr/fvy3kQnamZMFbSm8Ry2r5fD6FoyfrA4qhMJGV6XQ6E0gocpk6n8+nYAXTvS4uLirqvKpVc0lmycK7yXKnxD4Rx1tNEFiN3b+ZieHXrdq8VaI/ORAU/ZCNZFRoXEg2he6DdPqIbJJM8DwZ+YS+k8zkNANC3rOzsxOIQ3ReqoX9q5jX68XExAQj+jI7fKtxX19f5/FdXFzkknDieKv9LvsHMzMznCer1+v5s1arRTAYRFdXF+x2u4KdvVk/qs1fQki3Gz7+sOwjFwKmXCIy0dGx2+04fPgwhy7I9Ho9jEYj4vF40nCSaHq9HjU1NUlDsl6vF93d3YwyXb9+HTdu3MD6+jomJiZgMBiQnp6OoaEhmM1mTq7X6XQ4efIkL9Rq4bN4PM6hs+HhYTgcDhgMBgwODvKxXq8XRUVFqKioULR9aWkJfr8fMzMzOHToEIcLFxcXkZ2djaNHj2JhYQHhcBgFBQWKkAblw5WVlSna8v777+Oll17isNTS0hI0Gg3sdjt0Oh1aW1tRVFSEgoIC1NTUoLS0FDabDX//93+PwcFBrK+vIxaLwWg0wmw2o7e3lx2z2dlZzM3NYWZmBo2NjXC73fjHf9zgJq2treFzn/sciouLFW20Wq2orKzEwsIChxtXVlbQ3d2N8vJylJaWYmxsDMPDw4jFYmhvb8fDDz8MrVbL4U56ST3yyCMwGAw4ffo02tvbcd9996G2tpZz5Xbt2oVdu3ahpKQEIyMjGB8fx/DwMFwuF0pKSjA2NsbXdLvdHL49cOAAUlJSUFdXhxMnTkCr1aK7u5vlN8bHx7G4uIhQKITp6WlEo1FEIhF2rIPBILKzszmHkxaJeDyOlJQULCwsID09HRUVFTh8+DCi0SiWl5fh9W6UiPvCF76A2tpanhd5eXmor69HNBrF7//+7/N81uv1KC4uxvT0NGpqapCZmYmsrCx86UtfQktLC6cAVFZW4rHHHsOdO3dw+/ZthMNh3H///QgGg9BqtcjIyIDH40F1dTX0ej2HUsTnqK2tDXV1dVheXkZfXx/cbjeKiorQ2tqaNEeH0gWIJaj2PhCfdTn0R6E6cuRIlxLYYDWLuV50PgCK0CeFgcQQnByqpHQECnN5vV5cu3aNw5SUyyWGa+WfookhXUpvoRSAw4cPIxwOc6hQ/L6MVNI9kEYahSjla1INc+o/ck5IC5CuTYtzMqTVarUqFksKna2srHAoO1lYVe3+ZQuFQjCbzYr/i30+NDSkCNvJoW5qD4UXNzOHw8FpLIAyPEghdZfLxTmQ1D6qdBMKhaDT6bC2toacnBzOTU1PT0d6ejpHaKLRKNLS0rhv1MZIbEM4HMbQ0BA7IST5ZbfbkZaWhlAohGAwiLy8PJ47NE9JWJ+uMTs7i/vuu091Hsn9LPaBbNT3lOJgMBgwMTEBo9GInTt3cpUZmjvUj/K57HY7vF4votEoFhcXEY1GE54btWdWfF4pXeGhhx5CYWEhi3/r9XoEg0EEAgHMzc1xisbq6irS0tKwurrKfSVfQ9yE2Gw2RnwpdUI89sOyj2wIGLjLZiOTIeDt7C5l4eLNrkXIoRySJbNYNlivr732GkZHR2EwGJCbm4vU1FTE43HMzs6yPIuIpsnVHmSkUZQ+WVpa4qR5Cl+Lx6qRCyyWDXYtIZPkHBmNRiwtLcHj8aC4uJgdCbX7sdvtjBIRU1Ms2USWk5OD1dVVpKenK1AlCnlnZGSwqHB+fj5qa2tRV1cHs9mMb37zm4hEIkhLS0N9fT2CwSB+8Ytf4P3334fVakVxcTEsFotCXDgZMgskVpcgEseDDz6IaDTKDDcKB5BA89TUFD7xiU8oSvV5vd4E9jaFP0m02mq14sUXX2TRbLEKSW1tLW8KqH1iZRBgo1zg7OwsioqKcP/99zOqtLy8jO7ubjQ1NSErKwsPPfQQRkdHodfr8Td/8zesvdba2qqQMSosLMSXv/xlvPHGG3jyySdV0YiUlBSMjo4qSCB+vx/nzp3jlzYxB4kVLiJ7Pp8PjY2NKC8vh9/vZ/KNWHXF5/MlyLyIOpzABlq6FXub2rYZuQRQIiNqUj8yWiiW4RJRMkIqyMQKGOK8SLbbl8Nd5CCZzWZFOTdaXLZKWxF/ikZtlK+XDK2U34HJQmVimwcGBgBsOIUi23Zubm7LsB6VLaPwpFoIcTvM380IA8kQPDkEqhYlEpHS7dhmCC6hr6Wlpejv71et8TwyMsJEDLqmLLuynTq5YhvIiaJziqSnZH1us9n4+TSbzejq6oLZbFZ9r1M/qvXzZqFqcorIzGbzpjV7xWsQuk3mdDrhcrk4X108B5Go1IgzavPdbDbj6NGjjHz39/crNlh6vR7Nzc18PjXJGvHzr1KH+8O0j4QDCEC14DeQGCJQGxSxPFeyxYSO20zOQjzu3LlzAIDZ2Vk899xz6OnpQV9fH8rKyjA3N6dw4DZjCVNotKGhAefPn0dnZydWV1dhMBgAQOFcmc3mhFCbbHl5eVwZIh6PY2BgADt37oROp0NWVhZCoRAGBgYUNWj9fj/efPNNAMDy8jKOHz/O53/88ccxPT2N8+fPIxaLYefOnYjH46itrcWdO3f4HtRCf8DGQ0khb6/XC6PRiCNHjjA7d3R0FKWlpcjKyoLBYIDZbIbL5YLZbEZtba2iz8Rwfm1tbdLqEq2trewEk7Ps8/kwMTGB/v5+Lklns9nQ19fHpKDN8jEPHjyI/v5+ZGVlYWlpCQsLC5yPJVchAcDMbKoMUl9fj76+PqysrGBtbQ0+nw8ajQa1tbVYXFxEUVERwuEwBgYGcOvWLSwsLGB+fh719fX4/ve/j7GxMayurqKxsVFVP9Ln8zFJRTa73Y4///M/x+joKEZGRvC3f/u3yMnJ4bY1NzczUchgMGBlZYXTEcLhMCYnJ1kMPScnBx/72Mfg9XpRW1vL4uIUqu7t7U2oJSxKwBw/fnzL9Aoxf3CzXEEx3JrMWZSlMeScQQCKBZTmrIgEqMl3WK1WBINBFkV2Op2Yn5/HjRs3oNPpOPTk820IWYvO0XZNPpbef6KgbrKcJavVyqEvai9VR5CdEPE8JKMl5wxSn21m9J3N7lHtHb5dR0N0GOTKD+L11Yz0YikcruY0bBaqFttA7SDnXq/X83xJFhpXk00RQQ0gsTrIdmwrQWKv14t4PM6SMVQZRBb8TpZbm0yyRg690+dkYtfJJIbkuQuAZWGSzQGR/U6ySaKJjHki2QSDQczMzGBiYgI5OTlYWFhAamoq0tPTFcz0rWw7+a+/SftIhICJvabT6bC4uKga/gCgygD0er3o6urClStXUFFRgbGxMWRmZiYwM8lJtNlscDgcMJlMHOIVw090vrfeegsLCwuc8P/444+zuPH8/DyzHquqqhRsUdGI5UmMznfeeQfLy8s8McvKyvD4449zuGJ5eRlDQ0NoaGhIGjYDNkJ7BQUFHM602+0oLCxESUkJfD5fQsiZ8sAoTGMymbh/9Ho99uzZA4PBgD179jDC8MEHHyAcDqOoqAgnT55UtIdYzaurq3j44YfR1NSkYA7b7XasrKxAo9FgZmYG6+vreOSRR5iFVlJSgj/7sz9ThDHFewOgCL/KTO7S0lKWrzlx4gSADfbq4cOHkZOTA71ez+03m83Yt28flpeXOUTscDiwe/duBTu1srISfr8fsVgMBw8eVGUDy2EbkdE8PT3NulfT09MoLi5GUVER5wrSgpCamoqpqSnk5+djZmYGfX19GBgYYAajTqdDXl4eMjMzOS3AYDCwc1dUVKTQxrRarfi3f/s3/PKXv8Tq6ipcLhcAcK7j0NAQSyVQ/WtCKN966y1cvnwZZ8+ehcvl4u8Hg0G0tLRg9+7dzKS32+1YWFhAMBjkep7hcBh2u13BWs/MzERbWxuys7OTMt6J0Xznzh3cunULVVVVePTRR1WfoWSpFDR/KTQksilF7TSRnSiGc8TwWXNzM6LRKCoqKhTXbW5uRmlpKaanp9HR0YGUlBR0dHSgqakJ09PTaG5uRnV1NcrLy+Hz+ZipKIYTtwodiSHH3Nxc2O32BPKAeB76m9lsRk5ODpqammC325m9q9aHJC4shqUplEihco/Hw46OeKwYZqfE+mg0Cq1Wq3otkflLNjQ0pAjJboY0ORwO6HQ6zrn1eDzMqqZylsFgMOE6NF7Uj2I4kkxmIpvNZs5HXllZUaQNWCwbKhPNzc1cWzwSiWB6eprrAYvtUFOHmJmZ4ftWU0yQ+5f6RhwDQmoBKBiu4nUoNYV0Quvr6xGJRJjtLD4nAPg5iUajzKaVr58sjE5pKPJ9UAUksQ/le5FzcOn8YuhbLZzf0NCguFY4HFY8B8DG3GhqauKSeC6XC0eOHIFGo+FNCTmJanNU7E+1zx+2fSRDwPKuhMoH3YumUCAQ4Al88eJFlvUQv0/yKoSG2Gw2DA4OQq/XJyAKKSkpuH37NiYnJzmMF4/HMTExwYKbhMJYLJakaJ2IWpSWluL48eOYmppiZvGBAwfw2GOPcXjS7/dz8rzX61X8T83o/o4fPw6Px4MjR44wuiOjL6mpqfjhD3+I+fl51kqUkbdDhw6hv78fk5OTKC0txe3bt6HX63HlyhW88sorOHXqlAJFa2hoQCgU4h2nyBwuKyvD5OQkNBoNIpEIZmdn8YMf/IBz5MrLy5NW+hAZtGrhV5HhTZqOIjq0b98+AMDo6Ciam5sRCAQUIeKioiKMjY0lIE5ra2v4whe+oCgyv1lKgdVqVZR96+3txb59+1BdXY0f/vCHyM3NRV1dnaK28vz8PGw2G0wmE9LS0tDY2Ij9+/fja1/7GoaHh7G+vo4DBw7g1KlTWFtbY9LPlStXMDk5iczMTHznO9/BX/3VXzHiSmQPqlebnp6OrKwsTE5OIhAI4OjRo+jv78fBgwfh8/ngdruRlpaG27dv4/r161hZWYHH40FBQQF6e3sRj8e5nir1NwmHj4yM4Nq1a1zjmPpJROCov0TxcdEon0qNqJRsnm+HtEWLOn1We4eQBJToWKmJDG8XBRCRCkIV6e/0cytEkBwSUWONzklOl3gesW3bOb94rFxyLBQKceSFnAW19tH3yVkGNsLByRAf2SihXk3tQQz7ivPI6XRyqD5Z1Qnx+vfKSqW2Ut87nc4EpIne86LjSKZWm1ruD1HNYqs2iPcn9pUY8hcRULk/6TPJOyULX8rhWHKYKU1lszC6mJ8v3+vi4qKiprdaCJXWTyLNiPfV3t7Oz5OoBFJYWJiA5lKbZZSS+sRqtWJ1dZU3PiTjQ6HgZONxr4Sj34T9TiOAYqyeHvy0tDTeAVPBa/l4MpvNhn//93+Hz7chgXHlyhVG0drb23mRIKSG0BCtVqtAQwhRIN2zyclJFBQUYHh4GOFwGOnp6Xj66afR3NzMaFRVVRU+9rGPqTppPT09sFqtCtQiMzMT999/PyfGnzlzRrED6urqwvnz57G8vIyRkY2i5mVlZTCZTEn7z+/346c//Sm6u7tx8+ZNaLVadHR0MApDyd1Xr17FnTt3UFZWBovFwlqJYn+azWYUFxdjdHQUk5OT8Hq9WFtbY8Syra0NGo0GZ8+eRU9PD/7zP/+TiSWDg4OIxWIoLi7GBx98gNnZWaSmpsJgMGBubg5msxmrq6vw+/3Q6/VISUmBTqdLaEMytKeoqIgThkXEVk2nzmKxYNeuXQgEAhwiPnXqFKqrq+FwODA+Po7l5WWcOnVKsbPu7u5GaWkpKioqYDabsbS0hJKSkk2R3YaGBszNzfGL5sknn0RxcTF8Ph/q6+tZv1AkTESjUVRVVaG6uhqnTp2C0WhEJBLB3NwcKisrsWPHDlRVVXGVkitXrqC/vx9+vx8NDQ3weDyMlhPaHQqFMDo6ytIxJ0+eRGtrKzsQFRUV+MQnPoG9e/diaWkJc3NzsFqtmJychMFgQCQSQVZWFlZXV1FRUYHs7GwsLCwgFouhtLQU8Xgck5OTmJmZYQZfdXU1GhsbYTabVQlVartnQomHhoYwPT2NqakpVFZWwuPxID09XVVPEdiatCUaIS2ihh85L4SoAHeJIJSAHolEGBGKRCIIBoO4efMmRkdHkZ6ezjp5hB7EYjFG1Ck5nq5FC5BOp0vYiCZDFcRwtEhssNls7KRR+2U0UNRYk8kMdF4iGxFBwOfz4b777kN1dTVKS0sxPDyMhx56KAE1o5CsTqdDLBZjksdm4W5CdOj6JDtDqB5JV+3YsQPhcJgRnWAwiGg0iomJCb7X7Oxs7nN58SbEiLTvhoeHecPpdrt5jLZCe6iNYnoF6Yf6fD6EQiEOS9P9qWnw0XtA7HcSBafQpIiKyWF3NcKDmBcoRsBERI+IC3q9Hjk5OQnECtFIY5DmAI2D1+tVIMLUHhHBczgcqKioUMx3Iqz4fD7EYjEmepDepGiUU5nsvuj+SYNS/kwo4cTEBAoLC2Gz2XgcRJTTZDJhbW0NHR0diEajCoR/MwdQRqp/k/aRRACBRLVvMbH0xo0bSQfL7/dz2a6FhQWsrq4iJSWFJ/PZs2eZEUklr44ePYru7m4UFhYiJydHobW3trbGaMONGzfQ398PrVYLvV6Pjed9CQAAIABJREFUUCiEnp4eHDlyZFPJGWDjge/s7ORQpRoyAkD1u/F4HNFoFDMzM7h9+zZeeeUVRTky0QjVfP311zE9PY25uTkMDg5ienoav/d7v4exsTGYzWakpKTA4XDA7/fD7/fj5MmTSdtO+YUWiwUZGRkYGBhAdXU1DAYDbt26BWAjNLu0tISxsTHo9Xrk5uZiYWGBHbTi4mLU1NQgJycHu3btwtWrV2EwGGAwGHD9+nVYrVbU1tYmoJA0F0S0Jzc3F/v378f4+DhefvlllpwhxHYzdEgsoUf3evz4cQwNDSEjIwNvvvkm57DJ+WVirqDavBOP379/P4aGhpCbm4vz58+zXBChf7LJ2nuEnMZiMezduxculwvf/e53odFocPHiRWRkZODYsWP4xS9+gbGxMVRXV+PEiRO4fv26og3FxcVYWFhAcXEx2traOBwoa2BqNBpmT1NN59OnT6OhoQGjo6Po7+9HPB7nNASqLkN5ltTPbrcbi4uLsFjUCVUyQkAIN+WuHjx4EEajES6XC8vLy6rzQZ6baqQttV27xZKYzC0mo4vkBxG5k9EYEVUSER8RHaHvUh1XQtMIGaexpuvIDiE5FeQkiU6qx+NBZmamgmAi1tqldor9QNcQkTsRVRMdTRFF0uv1qnlz4mKtJtOiZna7PSFXNZl2nIiiEvpDJuokUrtEE2VyRBIAIdMyeir2EwAFOSgcDuPSpUtMDhLRMGob9be4RokoHPWXOIfk/FPxnJQ7TKa22aTcRjIihlAbaK5rtVqFOLN8zzJaKJKKyNSILluZTA6h/MBkRv1P5A6bzQa9Xs9IPKGcch1jq9WK9fV1rs9ttVo5lUTN5DQZkUySjFSyVb7lb8N+pxFA2Twej0K5mx422UTELBaLIRaLoampCampqQgEAgqpDJokDoeDd2Z5eXkwmUyM0gBgOQpgI/Rns9ng8Xig1WoRjUZx3333IT8/H6WlpSx5IpvdbsdXv/pV3Lx5EwMDA3jyySe5aoOIjKghm8XFxZiZmcH09DSys7Px0EMPsQyHGjJCu6HLly9zaMdkMiEcDuP27dtwuVwYHR3F/Pw8RkZGOH/x/vvvR2VlZUIbyPR6PcrKynDw4EHY7XYUFRWhrq6OUTSXy4VQKMQhg9TUVDz44IP4kz/5ExgMBhQUFGB1dRV1dXU4c+YM9u7di9TUVKytrbEyezweR3FxMdLS0hL6kdCepaUlFrr+u7/7O9y5cwcpKSmIxWIK9DAZOkTSQHR+q9XK+Z90H9SHk5OTjCAuLS1xNRa5koWMUJJUhN/vR0VFhUIuaGZmhvuDEJnu7m7Ol3M6nbxbrqmpYYQGALKyslBXV4dQKISVlRWWWamvr8cf//EfY25uLqEN8Xgc5eXlKCgoQEpKCldgEfuA5hlJguzevRvt7e14+umnUV9fj8OHD8NgMKCurg5ra2uYmpriPiCpI4/Hg2vXruHOnTvo7u7G3r17GeUks9lsLJFEsjFvv/0258DS/K2srGTdskAgoOhrNZPnqywjo5ZP5XQ6EYvFOLUkJyeHJU9oAaB8MDXJFTI15EWu4EDnJY3LxcVF5OfnK64jLjiUJ9be3o5oNIpDhw6xbEhubi6Wl5fZcaP2pqam8jVFFEVGBUVHhyo/ELpB8hZNTU3sRCwsLDAhQO5nEZkR+4lC6PIzPDIyojg3VVUgJ5iQVBofQsaAjdBydXU1UlNTEQwGFW1SQzYJBQoGg+wg0JpBiJzY52IFlNLSUlRXVyMajcJsNrMkjow2yp/FvDlyLMiRFxE0sXqFOJ+o/2RHWS1vlHLuCL0iuRcxXxXYeL+RWLVaPqJa7iO1nzZGJA4utp0kYEZHRzExMYGhoSGuMjI/Pw9gw9minMEdO3Yklf8R+1+n06GiogLT09MoLS3lZ4DybsX5m5mZifHxceh0Or623+/nqB1tvKj/5OeZcjnVnhkxBzcajSIajSbkwf4m7COLAJLRi0L01AEoag7K7DYKwaSlpWHv3r349Kc/jddeew2f+tSnEnIVOjo6WIW8uroabrebHyrKOSOB3lAohPr6ejidTmRlZfELjqpLqCEVVqsVP//5z3mHPjMzgzfeeCNB6FhmIlMOicViwRe+8AVUVFRgfn4+aQ1c0UQG79LSEju7BoMBVVVVcLvdCIVCGB8fx/z8PEwmE9ra2hSSOYR8ymNhsVjwxS9+kSVqqA1i9ZCenh4sLS39f+y9a1Cb55kGfCEhCQlzkgABEiCOxsY2xjbEYJI4TpNtarqJnTSHSTppO23zYzPb9t/uj/7af52dnWkns7NtZzKdbttJ02mTxrGzSeNDfcKJOZujJSRAQkggoRMIHQB9P9j7zvO+eoWz822733zpM5MJBh3e83M9131f18VGz0VFRfzZ9J6ysjKEw2EMDAwAAEpKSqBWq7G+vs7HU2n/pqenMTY2Br/fj83NTX4wkeWMuM252CF6DXl3tba2StjCY8eOYWhoiJNXaCVLBslydaqccWxqakJLSws8Hg+XU/V6PdsFybdF/t4nnniCLVbI3ub48eP8O7PZjPPnz7PtSiCwm/kZCoUkn3P8+HEMDQ1hbm6Oe1bD4bDitSo3TheTVgKBADo6OjA+Po7p6WnYbDbJMQiFQjzx0TVOTDvdmxTTV1BQgImJCWaUz5w5g8XFRWYAm5ubUVlZidLS0qzv+Tw9OkrKYKV+Krp36feiilEscdHP1KdE7BuwO4F4vV5OWKDXy7eNhslk4n5mynyl18v7DIl1oOcebR8A9pejJnYRcNB76LtFZk+u8KTep71ylHNZz9Ag5klesqREE/H18XicX0//Fo8ZxTWK9jliiVo8hvJtkp9jAh30/SUlJYrKcPGY5xrEyMrVx6J6V/SJpNfksmkJhUKSuSwajeLevXscuQmA+5NJvS1fJJDghFgzpUGvF/dPzsArqXrlFjXybafX0nmjrGklNpPSWz7vELdNvl/ivUQglBjklpYWjI+Po7Kykn0sRXsdkc2Xb/9e4/+L7B/wBWEACYUHAgHodDo+4fF4HJlMhsuMoqKquroa0WgUkUgEvb29eOGFF1BWVoaVlRUcOXIEer1ewhBYLBaYzWZEIhFWlPb09LCpcFVVFYLBIMxmM7a2trCzswO9Xg+j0Yje3l5sb29L8k0JcNEwmUyoqanB4OAgg8DXX38dBw8e5NeI2aykRB4YGMD8/Dyqq6tRVlYGq9WKY8eO7dnvJPasdXV1oaSkBKdOncKpU6fw/PPPIxwOY3l5GcXFxaisrEQ8HkdFRQXKy8uhUqlw6dIlLCwsYGhoCOvr66iurpawXLRf1H9I5WS9Xs/MmsViYYk9GQQTIxcOh5kZSCQSeOuttzAwMMDMBil4FxYWMDU1hQMHDki+n9hdUlunUikkk0lotVp873vfY/GHOHKt1sRjvrq6iieeeAIGgwHd3d3405/+BIfDgYKCArS0tODZZ59FY2OjYn40DZFx3L9/P9566y0Au16KL7zwAqcrPPzwwzh//nzO9z755JNcLlepVDh79izq6+thsVj4+iotLYXZbEZjYyP7zsk/p7u7G263G93d3cjLy2MAcOvWLbS1tSlePyI7SsctFArh2rVraG9vR1lZGS5fvozNzU2Jyt1kMqGuri7rGic1txjTl0gk4PP5oNfrodFoYLFY0NbWhuLiYhw9ehRPPPEE2tvbsby8nPNYK13z1J+5lzIY+Iy18Xq9uHLlCpLJJAoKCtgkXDTSdblcDJYymQxaWlrQ2tqKVCqF4uJitLa2Ij8/X8K6yFkGYpRowqqoqIBGo8Hhw4cBQMLgALtAmRgqur5rampgNpuZWbRYLFhfX2cGqLy8XJInKypQaVKnv4uqZtrG2dlZZDKZnD1eeylmlXKBxd65paUlXvTQ4kWn06GmpgaFhYXIZDK877W1tcy6ica7gcBuBrLf72dQKSo2RVNot9vNAHF2dpYNwH0+HzNTFRUV/JpkMilRV8tZHtpf6jkTmSLxmszFjsp/BqQlxs3NTdTU1KCoqAi9vb0oKiqC3+/HmTNnJOpt2i55/2YgEODISOrVI5W/x+MBsMv0ulwuZryVmE/5PtA271Uqp15iYJc8ocWE2C8n73cVh5y1vXfvHgYHB9ncen5+nvtGk8kkXxMulwsjIyNIp9OcyTw7O4u8vDxYLBbMz8/zefd6vXwdkOPC7Ows9yMSMytXr9N5J3PqXA4kf+mRiwH8/z0AlCueSB7e0NCAtbU1XuHJLWD0ej3a2tqwtbWF559/HsBuLxeBNKPRiAsXLkjSNpqbmyUTMDEB4oTf39+Pzs5O6HQ6vPjiizAYDKiqqsLi4qKkTLiwsCABTsAuu9LZ2YlYLMbeeOJ+ipOW0+nE5cuXceXKFUxMTCASiaCtrY2BVq4ysxxEVlVV4ciRI2htbYXNZmMAoVKp0N/fj8bGRvh8PkSjUZjNZuTn52N4eBhqtRqXL1/mcPADBw5gaWlJUrqTJ5ZQic5gMPDf5KVSl8uFn/3sZ1hcXITdbsf09DR+8YtfIBKJIBKJoLm5GQaDgdmE8fFxaDQaLpWKTvh5eXkIhUIoKCiAxWLh/cwlFlC6tuRAgW54t9utmLwiFzVsb29nfReB3F/84heYmJiASqViI2aNRgONRoNvf/vbnHIif6+YWqPX69n+ha7vRCKBa9eu4f79+7h9+zaOHTuWBeRoAXL58mVMTU3B6XRCo9HA6XTC6XRiYWEBLpcLLS0tikIicZ9CoRDeeOMNDAwMwOl04t69ewxOXn31Vcl+0DWeSqXw+uuvS5j2yclJLC4uIpFI4N69e0ilUigoKIBKpeIFDrF+c3NzsFgsaG9vf6C4Q37NHzp0SNEeSH6/JJNJXLx4EbOzs1hcXER+fj7bRFATezKZxK1bt1BXVwe9Xq9oGyMqZMWJLFdSAJVKqZ2FPlNkIuj4ArvPPQI6SpOx+LNYNpRfl4FAAFNTU5KEEpEREcu88lLYXveTuD2BQACffPIJBgcHmZ2fmppiBvzw4cNZghKxyiEeXwJzOp2O2bpoNIr5+XnE43EUFxdLGv2pLBmPx1FXV4eioiLs7Oygq6sLDQ0NfNyplBsMBlFcXMxlxVxlc3H/cwEi+RAXynsJFYlVDAQC8Pv9zOg5HA7E43G0trZmASQSISWTSZ4PSYRDYjba59bWVjQ0NMDlcknApNgKIJa0lc6zfD9oW71eL0ZGRuB0OhEMBrm/eXt7Gz6fT0Ju5Gopos8VFxMnTpxAe3s7Wltb4XK50NbWhq6uLthsNgZjAHDkyBFkMhlmsI8cOYL8/HwW+dlsNpw4cQJer5cXEcQcV1RUoKGhgTObCdjJWVLxuFMak9J5/EuPLywAlF8cYsP0wsICK4vISoBKgQaDAYlEgn2ZxCg1UmwtLS3BarXyhGg2m7N6+JR6yEgBSiUK8ttbXl5GaWkpG07Le8RoiCykuJ+ip1o0GkU0GsX29jby8vIkqkv56g34TFknB5ELCwtoaGiA1Wrli1YEkOTZp9Vq0dfXh9HRUdy4cQM3b95EIpGA2WyGVqvF2toafvvb38Lr9cLn82XF0ymppeV/C4fD+OlPf8oRcRsbG1haWoLD4UBhYSE2NzehVqtRUFCA5eVlTE1NIZlMslefXq9HMpmEx+OBXq9HKpXCww8/DKPRCKvVio6OjqyJPpeyklawJpMJU1NTfG0RKFYC/uI1UVpaKol4k3tFzs3Nwe12s0KWlOVtbW1IJBIoLi7mYyXfPoq2I4ZUZIGJ3bp37x48Hg8DOhHIEVvn8/m4p5B6W6empjA7O4uamhpUVFSgtLR0T8AcCARw4cIFvPXWW0gkEhgbG8P09DTy8/MRCoVQXV0tiRUEwEBO9HGk69tut8Pn8yGZTOLMmTMYHx+H2+3mOECVSiVZVLS3t6Oqqion87eXMvzQoUM5waN4jVqtVsRiMRgMBlRUVDAISiaT+N3vfofZ2VksLy8z8yqWmSORCPf2ERAkfzqlnjmaPEW2ifoQjUYj+/xRTx4pGuUN6eKkLJ+oiM0gXzj6OyUfEKBqaGjgyZ8Un6IA4H+ieBS3p6GhgXuut7a20N/fj2QyySreaDQqYRpJYa0ERKgXLBAIMHNK7OHS0hL7uIkqa4fDwV6PImNGvZLiPsrj3sS+PPGc0XN5L69Bei31AMrPvdI9Rr6G1NcIgD34qD80F9uq0+m4dxXYZTRJYGQ2myXfR9m3cgXy6OgoK7CVmE96PonXmcPhQEVFBUf8kfDCaDRCr9ejtrYWy8vLaG9vl+znXoCZhghM3W4374vI2NG5p2uJwLyc0aRrQFQK03OeehEBsLeufMiPe2trq2KU4l9jfGEBoDiorEInpbKyEvn5+ZIGUWB35UisgMPhQDAYRHd3N1ZXVyXZptT75fV6OWOVJn8agUBA0ixPpaba2lpJWbOxsZFXpSIbKJaeaJtygUP6HK1Wi6effhqxWAxOpxMA0NHRwROh3KBa3CZiPpT2S8xpNRgM3IxPDxMCf/Pz8zwhbm9vsx+i0+mUZPs2NTUhGAxmsSzxeBy1tbUSAHX8+HFmWtRqNXw+H2pqavD8889jbm4OkUgEJpMJLS0t2L9/P5d2KdOY+myIVSQV8Te+8Q0cO3YM5eXlWRN9rixZ8fcAsLa2hsLCQlRWVqKkpARGo5GBsQggRDBJ4GB4eJjBgWgcbTKZuMcyk8nge9/7HlQqFV9/8oxg8VwSmzUzM4Pbt2/j4sWLGB0dRTQaxbFjx1BQUIDbt2/D6XSiuroahYWFKC8v5+g/uu5DoZCENT9z5gynr6hUKnR2duY0WKbh9Xrx29/+li008vLyoFKpUFhYCI1Gg6NHj8Jms2U9FAl4iL/X6/VczqdyayqVwkMPPYRoNKpoHK1SqSSTtHyICyf5dbgXU670vkceeQRarZYnIAKIVIqkPiOy/SAgT9m5onAkl0AtHo9zP6RY3vR4PIjH41yios8EkKWA3quJX5zsaJEjClNIvUolYCVwIZaP97KmybU9NEiAlJ+fzyb+xcXFSCaTsNlsbKnj9Xq5PAlIhRK03TqdjgUuBMRE4QoAFoXITbtp/0QzcNpHOWiQi33E4yvmQucqaYps7oMYQrfbDbvdjkQiAb/fD7/fD6fTyYBOq9VmATLxcymvOD8/n9lAsnsR/RwNhl1botraWsm5JsaMGDQlc2x5aVjOwJHfKFWQCJRtbm4iPz8/S/Dyea8neg1VQ+i7LBYLn3/6TwTkxCID0rKzePwoAIHA8NrammRBogTqKZf7/2r8DQD+95A/CElBFgwGoVarMTg4CABZ7JTBIE0g0Gg0qK6u5r4JuecfATaaoAn8iaUmcdKXp2/IJ6NcTIWcfRF76Nra2iSqy9nZWbz33nsIBALw+XxobGzMSrAgxkRpvwBwCdfn8+EnP/kJFhcX4fP50NLSgtu3b+P9999HIBDgibCiogKPPfYY0uk0MpkMfD4fTCYTTp48iUOHDmWVQ4m9kpfvDAYDxsfHMTs7ywzRD37wA9hsNqhUKhiNRrz22mv8QGxra+N+SwKQYj9mIBBAbW0t6urqYLVasyb6XOfK4XAwwzQzM4PR0VFONllbW8Onn36K6upq2O12WCwWBt1KPWZDQ0NIp9OIRCJZvoXUH3rnzh2UlJRApVJxfyGlk8i3T+xdKykpweDgoKTRPBKJQKvVoq2tDceOHYPT6YTBYEBeXh7Onj0LnU7H7y8uLsb09DQOHDiAuro69PT0wOFwYHp6GkVFRcjPz2fFt5yhEhmRyclJeL1eaLVahMNhHD16FG1tbcjLy0NPTw/3Mcof7LnAN90nhw4dgsfjYcW53I9RqXRLLLdSyV3O0osLHaVBCzt5ywexZiJAXF1dRVNTE86dO4etrS1mYMSyodz7jkC3fIjMUCqVYkBD3o1kT0HqV1FYkmuIx17ecwZ8xuJMTk4qToo0xPeKfXVKr33QRB4I7JqQq1QqaLVaiXiFwILYY0nlSRHAKrFnBoOBXyMCOtpWJW9H8b1K+yju/16TvAhKlRitQCDANkniNsi/S2xrMplMDGQ1Gg26urrQ3t6e8ziInyXu387ODjNb9F7x9XJSQyydEwst9wa02+3IZDISRo622263w+PxIBAIIJ1Ow+PxIBaLIRaLIRgMIpVKIRKJwO/3Y319nZXctHgXnzG5WFK3243W1tascvX6+npWqwJVxqg9SK1WIxaLweVyMcNJn03zHYFhSnIRF0riyLUw+GuOvwFAKK80KU4nHA7zxB4MBtkmQx4RRqU7ami32Wws/KASoBLYy2QycDgcewI4kQ1UMr7NxVTk2s+NjQ1Oy5idnUU6nWb6ncopxJiQqbJKpUJjYyNHldF3dXd3cz/Y4OAg3n33Xdy/fx87OztYX1/HRx99hI8++gjLy8vY2dlBQUEB6urq8KUvfQl9fX1IJpNcpvrWt77FBs7kXahSqXD16lV88MEHzHC2t7dDp9Nhc3MTb7/9Nt59913uBfrud7+L6upqvPnmm1wSi0Qi2NzcRCKRwDe/+U088sgjD+zHFC1M6AGRC2yHw2FcunQJHo8H5eXlGBsbg9vthlqthtPpRCgUwvz8PC5fvoxoNIrV1VUcOnRIMSausLAQ7733HhwOB4Bd9bM44dvtdoyOjmJlZQXNzc28CGlsbJQANTnTRcwpgQ5S02YyGfT29uLcuXN83CsrK3H37l0UFhYiHA5z79vMzAyuXr2KeDyO6upqPPLII2huboZarcZ7773HZadXX31Vss1y0CYymeFwGCqVCq+//jqX3ElYJX+feO/IRTzALnt64cIFrKysoKysTGKKnev+EU2i6+vrs9oqRLYvF/iU7ycAScsHGXgD4HKWfFuUmB2XywW9Xs+Mr1hOJbZCCaBRBYIAAPVHUjlQHqlF17fdbpc8N0QwEgqFJACD7Kqo/Edl370YVXEEg0HFsqgouMhV2qyrq+N9ILCxf/9+ZqPE40dsqbyfMBc4oH0QS8ZFRUUSMc2DetroO5SizuTlc/o7GXGLRsZiiZ1YYSqxK5UMldqa5PYtIugRFz2igXY0GsXo6CgrVEnMQGVR2ib5uVM6VmI8Iu3P2NgYzGYzgsHdyDXRbqa1tRVmsxk7OzuIRqMoLy/Hvn37eFGzsrKCEydO4ODBgzCbzdwSIWdncwFpJbCuJFQRjxPdd2azmY/JkSNH0NLSknX8xHL40tISYrEY3ye5FgbyxfFfExD+DQAqjEAgwL00k5OTkt43v9+PU6dOwWQySVgBtVqNX/ziF/jzn/8Mn8+H3t5etLe3s6pSzsSIn3fo0KEsUKkE4JRKT0qMw16JBaFQCO+//z42NjbYYiMSiQDYpcVF7z2lzFSj0cjfdfz4cQavZNrs9XpRVFSElZUVJBIJpFIpbG5uIhaL8YRVV1eHnZ0djI2Nob+/H5WVlejt7eVjQ8yVSqXCm2++icuXL+PTTz9FW1sbIpEINjY2MDk5iWvXrmF4eJgnuEgkArPZDKfTiTt37qCiogLz8/Pw+Xxobm5GMplEcXEx59ru1Y8pHi+RrZWDxe7ubty6dQsejwderxd5eXloaWnhxnKi+Q0GA9LpNP9eBNkE1uLxOGfiUh+dmJ4SCoUwMDCA9fV15OfnMxtEQPZBZUtR+dvV1cXK2PPnz/N1HI/HMTo6itHRUVZEqlQqBtxutxsnT56E3+/nMorD4eA+qvLyzxJfSF2nxJiS2fMHH3wAo9GIGzducEm+s7MzCxxTb+jw8DCMRmOWiEcE51arlctW5MmpdP+QSfTbb7+NW7duIRKJoKamJku8IrZZKLH09FmUVnP79m20tbUx8yf/PQFS+b0sZzpv3ryJtbU1lJSUoKOjgyf2yspKOBwOGAwGrK6uSkCGy+VCdXU1+9oReKC0GSA7boomwIGBARYHyCdKsUWGvi+VSiE/Px+xWExSlsvFLNntdgmIJJWpEpDNBQSVgLJYBqT9kfctiirMXH1jubZbCWTvBSLp3/Ra6kWkyV4sn5eXl+PevXu8/RUVFSxkomclsZmiyvpBQIHamsR9ENlrMVWDfieW+81mM7q6uiRqcDEZBVCOLZMfK/kxKi8vZ1GKEjgV2wdSqRQymQz6+vq43J9MJtHb28vM8/z8vKL4SA5QA4EA7ty5I2FRaf/ptfLWBPlxIVBdXFzM2yz2LwLgbaF+XZvNpvh68Z4V2cvP29P4vzX+BgCFIZ5Mar7Oy8uD3+/nCV6tViOZTHLkGTXGj4+P49KlSxypVlZWhpKSEnzyySdsBi2qCMVeumQyyWU8+txcI1c5jBizvfquQqEQ/v3f/x2//vWvMTk5ia2tLZw9exYlJSX42te+hpKSEgZAiUSCJyCKkRPL0qWlpbBarQw4FhcXsba2hnQ6ja2tLbS0tOA73/kOdDodPB4P0uk0K+PMZjMCgQCcTieWlpZw6NAhxGIxCXNFfVvj4+OIRCLM/tXX1yMajeLq1atwuVwMYAsKClBZWYnOzk54PB44HA54PB4cPXoUtbW1iEQi3COnRLsrTcihUAhvvvmmRHFMxsRyAFxbW8vehs888ww/pJ599lnOvKVyrgiy5cwjWQ9Fo1E0Nzfz9hJYeeeddzA9PQ2z2YyDBw8ywyXuRy4wK+4jlUxtNpuE3SoqKsKnn37KJrMHDx7E2bNn2X6HvOoo1q6pqYnZPHGbiQ13Op1ZvXelpaXwer346U9/ipmZGcRiMbbw2NraygLHLpcLpaWlKC8vx61btzA0NMQinvr6ehiNxizwS/vZ1NQksU4SwcidO3fw0Ucfsdhrfn4e0WiUP1N8LogldGLECZjT34eGhiQCmoqKCjgcDty+fRs+nw9OpxMzMzNoa2vjbc51X7/xxhv44x//yKkRxcXF8Hq9WF1dxc2bN7ki0d3dDavVyowLTagk+hA97dbX1xVZOpqsiZlRirMDICmFkfjC7/cjHA6jqKhIYg+sEkiNAAAgAElEQVSjBFBosSpGcNKiQ4yhE0uHothCzqYBUqNsAhBKfYvifZ2rjy6Xwlb8m1jC/jwTNZW6CWTkYnoJ3AGfZdTKY+0orUk8LnuBQKWyuwi2xO2ifZSLWshXUqfTsWCCSrIul4uj5h7EiNrtdoyNjXE/JlmpUESc0ntCoRBWV1f575ubmyxgAXavZ71ez72GdG2Jwh3xOrl//z56e3v3fC0ZSyvtjwiqReaPCA4ai4uLcDgc7KtLfaiRSERiA0X3rMhePqjH8397/A0ACkNceQDgHoDKysqs3rd9+/YB2BUPTExMsCiEqGsqFcuFG1VVVYo9gjSByXNnacgpeyVGYi9FYzwex/vvv49f//rXiEQiiMfjSKfTKCsrQ1tbG5qamnjSDAR2PfHu3LmDlpYWZmbkZWlgF1SUlJRgYWEBOp0OHR0dzC6q1Wp0dHSgsbERXV1d6OnpwTPPPIPx8XEWGhiNRtTX12cJP/r7+5HJZPD+++9jZWUFjY2N3A9FfSYajQalpaUoKipCdXU1uru7YbFYsLy8zNmxHR0d+NKXvsQ9mg/KcxWP2dWrV3Hjxg12jqfcWBLviABYntNMYKuxsZH7Qh5//HFUVVXxdsjBWjAYxNjYGPr6+lBcXCxhmMVEi7y8PLakEBkumqT2EimI1xA9yOhaGh4exs2bN7G5ucmgvKurC/X19Ugmk5iYmMDhw4cxODiIgoICTtGgxU5paamkD5HOU0FBgYStzGQy7PJPk04ymcT29jaOHz+Oc+fOSTKUk8kk+vr6cPXqVWbNH3vsMQSDQVbZ7+zsMBO+sbGBaDSK+/fvs2iFrJMCgQDvS2FhIQuWEokEC5NisZikvEz3phIjLl43ooDGaDSiqqoKGo2GbY8orcZoNGYpnMX79Nq1axgYGOD0mVgsxmXiSCSiKAajiYyOOTXv031OPYAiQHO73ZI821gshlAohGg0iurqavbQI3bEYDCwr6ler4fZbMYjjzyCQCCAvr4+CeOjBJBEgEbPWNEuhbafWBYCimJfn7wMS4yiEjgUGa5cJVnxntir/CyCJyVVr7x8Lr5OpVLB4/HkBNUul0viZRgM7vrC0rYT43fkyBEEAgE2bqaIRqWhBGBcLhf71hGII+sb6uGUi1rI8qaurk6SYFJcXJzl+7jX95tMJjQ0NKChoQGTk5OwWq2oqKiQ5BSLwIquXQASQKbX63kRQqDY5XLB7/fDarVmXSfi8V5aWkJ+fv6e15Tc9k0+xGs8ENi12kkmk1xtqqurQ2trK06cOIFwOIzm5maYzWb09vZK9kPsl9wr1eUvXQ7+GwD87yF/QIjlCavVmmXmLIoHrFYrwuEwNBoNFhYWUFpaioaGBnR0dCiWdo1GY9bnUSlRqcREfUpyyw5izGZmZmAwGBRtN4jZMRgMWFtbw+TkJJfmWltb8eyzz7J6kB6UarUa169fx9TUFDweDw4ePIiTJ0/CarUqHjtxf6jEoVarMTMzw1nG3d3daG1t5SSGhYUFVFRUMGMk+ggSiPj444+RSCQQDAbR1NSEQ4cO4ZVXXuEYoUwmg9OnT+PZZ59Fc3MzXnjhBTZUpnJKTU3NAy0/lEYymcQHH3wAh8OB+/fvo6CgAE8//bTEFBzIZtxE9pZeQ2wSJWiIJS8Ca9FoFD/60Y8wPDyM9fV1nDx5MsuAnFgkAOjp6cHzzz/Pvn5KfXbyiUwelUbXvdy2JJFIIBaL8fVBpfiJiQncvXuXy9yiCIiSW+R9iIFAgHsQ+/v7mSVVq9V466234PP5kEql8Mwzz0Cr1TLgpPvk5s2byMvLw8jICF+z1FtDvTler5dBHhmnE7N49+5deL1eeL1eVFdXY2BgANevX8f4+DgmJyexf/9+/OlPf+Jy05kzZ7C1tZXF8KlUKoyOjsLn82Ux4nSO29ra4HQ6YTQa0dzcjO7ubgwODiKZTMLr9WJjY4NLkWQ/JL9Pa2trOTGIzrXNZoNWq+WeTQLU1FucyWS435XSJEjM1NPTA4/Hk2U0S4vdoqIixGIxmM1mrKysoKKiAgaDAZlMBoFAQJHdkZcBlYQpYg+VHHi5XC7uNRPtUwyGXT/OmpqaLCCYq7QnL9Hliqjb63VyhW0u8ApAUiESgZzdbpd4U7rdboyPjyORSEgSJwKBgMQmh8rDXq8X4+PjvJDx+/2Ymppihmx9fR2hUAgzMzNcZhwfH8/JWIrfR8ef1K0AeL5qaWnh9g76HINhVwS5vr6uyKbR73IxmnuNQCCAtbU1XjAonTMSvVB/oHh9lJeXKwJRo9Eo2Q7aLmLogF2/PQLWYowk7avS4uBBZX6KzdTpdMxGip9L96O8HE33Xl1dHdbX1yWeknv1mf5vj78BwP8e8gcEBXPT6kbsfZOLB5xOJ+LxODo7O7GxsYGHH34YPp9PsV+QRq5eOvnKPplMculvbGwMkUgEx44d41IygbSvfOUraGxslEz6IksYDAbR19eHra0tpNNp7N+/H//8z/+MpqYmfg+Vs51OJxYXF5lFo5g6uQG1OGh/yEuQYqGcTid8Ph86OjpgtVoRCoUwPDyMffv2obW1VVLCFM2KCUQ0NDRArVbDarXi3LlzaGpqkiQ7nDlzBqurqzhw4AAsFosk03dzc5NzZYmV+TyD2L+BgQE0NzczwI5EIqisrMz6nL0YNzoPJCRaXFyUMFLAruDoRz/6Ea5du4ZQKMRlCJElIgPykpIS7tsDdrOk1Wq1xHycVNwiILxy5Qp+/vOfw+v1wm63837IS6c2mw39/f1YWVnBc889B41Gg/fffx937txBY2MjM3Xr6+uor6+XiICCwWCWWTKVbo8ePQqDwcAiiZGREdjtdtTX1wPYtaZobm7Giy++yCz0xMQEPB4PmpubEQwGWQ3e3NzMzeFmsxlXr15lzz+K5vvVr36FyclJRKNRPPzww1hbW8OVK1cwNDSEiYkJhMNhTE5O4sKFC0in09BqtdDpdNje3kZ9fT2LYuT3RH19PSKRiKLSnoQnpaWlknuamtUJ2KdSKcTjcc6klrP57e3tOHr0KEpKStDS0sLPBALULS0t2LdvHyoqKpj5lxsOkzUVqctztZUYDAa2unI4HOjv7+d/iw38ud5rMBgk1i5ysEcMmNFolCSNNDQ0ZNmnGAy7GcUtLS3c9E9lN1H0kGtilIMRAllKYE4se+ZSrsqFEdQXDuxagYjbLTfKLi8v5zQp0U4sl03OiRMnYDAY8Mgjj7B6OT8/n+P4/H4/VldXAewats/PzwPYZcc2NzdZXCIfxG6KwgyLxcLbBiCLUaVzmot1DYVC7JdHx2wvxkqck9xut+RZKT8/drsd8XgcsVgMGo2GS6ty4RK9F0AWWLLb7fxsIwAYjUYRDofZ61FkG/fa1weNYDDIizG5rRQtfuVtF3IvR/EYkPvIX2t84QGgkgKHShXykyGf6MmS49atWygsLITBYIBWq0UsFlPsF5QPpV46kS3MZDJZpT+y7CBH+p///Ofsit/Y2MilCKXYKoPBgJMnT8JkMuH8+fNoampi5oFAhFi2i0QiKCwsZEd5sogRff/k+0OJC7du3YLT6URVVRWMRiNKS0sBAG+//TbeeecdjkLr7u7OMq6Wg5KmpiYurdL3kN2OCD5o2ygxZXZ2NsuQ+/OAwGQyievXr2N0dJTB3+nTp+H3+3N+Ti5HepFhKy4uxpUrVyQGxRsbG/jkk08wPDyMUCiEdDoNYNefkSwE5MfXZrMxqBwYGMCdO3cQjUbZKHVjYwPXrl3j3sWlpSX8y7/8C+7fv49MJgOPx4OVlRVYrdYsVWp3dzdu3LiBpaUlhEIhFBUV4Q9/+APm5+fh9Xpx5MgRfOMb30BxcXHOhQuZJVMpdnFxEYuLixgdHYXdbmeLIJfLhXA4jMceewy9vb148cUXeTFAno/Ly8twOp3Y3t7GN7/5TRgMBrzwwgtobm6Gx+PB+Pg44vE4Tp48yZ5/drudRRJ5eXnM7hUUFCAvLw92ux1LS0t8f6rVaiQSCZSXl+O5557Da6+9xipkufchRUPKbWREtlepP3Z9fR3pdBpra2uw2WzQ6XQIhULQarWKxudVVVWw2WxobW3FgQMHJM+Gvr4+3LhxAz6fL6taEAzu2lb98Y9/5PN/8OBB7Ozs7DmhGQwGrKyscOQWoNzkL75eNPOl34nCB9E3UGSNxM+QAwCxBCeyZPJ+tr2260EKXLq+SAhRXFzMZTi9Xs/Gx6J4Y2RkhN9LhsHz8/OSSDSXy4XJyUkJOJIbCyvtgwie4vE4RkZGEAgEJL12GxsbSKfTSCQSDJDUajUA8OuUysGiYlcJIMsZVSWjaTm4M5lMEqshuTG5fG4QGdVgMJhljkznjO5dYn7n5+cZjFKVSul8y4/n2NgYtFot9+tRaTcajaK3t1dRnJJrX5VGIBCQlKFpgZBOpxGPx+F0OrG+vs7Mqsiu0nfI7y36G7mP/LXGFx4Ain5U9PPc3BxSqRQCgQBSqZTkopAj/ImJCbZBcLvd2Nra4tWV2C8olpOULj6l5v1cpb9z585hbW0N//mf/4mhoSHU19fD7XZjeHgYq6urbDOiFFtFzBKxcWLvF4EIYhnUajXm5ubgcDjYnZ1KCPJSorg/VA5zuVxcDjt+/DgGBgZw+/ZtSR+bVquVKDk/T2k1FArhzp07kkQKkTUtLy+HXq/HzZs3sbq6ipWVlSzj6lyDAJvdbsfBgwc5S3NjYyPn5+xlD0JgdnBwENPT00gkEmxQTBYtxML6/X7k5eXhq1/9Kl555RVFgEEsyR/+8Ac4HA6oVCo20d7Y2GAA4nbvxvWNjIzgl7/8JZxOJ8LhMDweDz+wAKCtrY1VuaIlkdVqxfT0NN5//33Y7Xao1WoUFRXh1KlT2L9/P2pqajhcnsp69fX1OH78OKxWK4NwsucZGxuDz+dDZWUlJicnEQwGmRHp7e1FR0cHn2Mxc1qv12NoaIjLnmq1mlmMAwcOMItGwKyvrw+3bt3C9evX4fV6YTAY0N/fj/Pnz+Py5cuYm5vjfF5KgMnLy0N+fj6eeuopfPOb32Rxggjc7927h/b2dtTV1UlYa6VzL17D1B+r1WrR2dmJQGDX3HZgYAATExNIp9M4deoUM3YiuKTnjXgvHD9+HCMjI7hz5w73hsk9Rqknme4LSo3JxeDT9orl3s9T2stltUHXFx1Hv98PnU6nKL4KhUIS81z6bnHSJEb8QUMEpErlXlGBSz209BrRvFgJ1IhldKoQUayYmK9LEWn0utLSUrS2tmaxTuLxEkkHOt8nTpxgEEmOBVQaPnLkCGw2GwKBAIvJlMrwdCxpyME6XS+fRyAjB0b0OiVjcvl1sVeJlV5HPZbUdkXiJaPRiFgslrMVQQmoUeKVuF3BYJCzwR80HnTtEyglBbzBYOBFndFoZFN08doT2eRcxwDAA3sQ/7fHFx4AiitMugkpMNzv92f1zsgnY5PJxCyFqEqlVaT4QH+QjxhFwYk35MbGBurr61FUVISuri627IhGo/jVr34Fh8OB+fl5aDQaNDU1oaOj44GxVQbDrucX2WrYbDbu/aLv6+np4dVNIpGAy+WCyWTCww8/jNu3b+e0w6AhlsPIsJkANv2fwGyuY6NUWiXD5b0EBuQHt7q6iqWlJZSWlsJms2WpN5WGmDZC/TrPPvssgw8C9fF4HJWVlTltTsRBPXUWiwXV1dVZLBKVd8vKytDR0YFXXnklJ8AQs5A/+eQTnlz/4R/+AQaDAefPn+c+yHv37nFT+c7ODjNhxGDGYjEG4LTfJtNuhB3FiO3s7GBubg4rKyvQarV48cUXUVpaCrVajatXr8Ln8+Hw4cNYXl7GI488wuamJpMJ1dXV7D1os9lQVVWFjY0N/pkm4dOnT/MKXyyHDg0NYXZ2lm1M6PuIPSXPwmPHjjE4Gh0dxe3bt5l1IQZQpVJhY2MDAJBOp9HS0gK/34+SkhLu/UsmkygpKUFlZSUrR2dmZvDhhx/C5/Ohuroajz/+uASoPujci/2xJARIJBLY2dlhRr+4uBg9PT17CpXo2VBYWIjr169jcnISCwsLOHDggESQsra2hpaWFkkJ/kERkjTE59pek6CSTQwNurepNDY6OopwOIytrS34/X6J7QuxPtRmI5Yp6TM2NzcVF+JKI1fvnsg+iYBD6fcGg4FBjZxJJBATjUYljJTb7VZk4FwuF7RaLYDcbCoBH3EbxPIoAWd6DfWZmUwmTE9PQ61W87EmQQSxUKLYY2pqCgCykliUrHPkIhWaG6mNQXyd3++XKNpFtlfsPaREDUpVkc+p9DwngoFK3s3NzVl9oErnX0llvLS0JGFjyc8w12fQ7z8PC0iLjFQqxWI52ic6l/LrKlcP6l4Cpc9Thv5/M76QAFA84ET9+/1+AGCVlN/vh0ajkTx4xCxVEaSUlJRgenoa09PTmJ+fx9zcHDY3N9Hd3S0xtX2Qj9i1a9fQ1NSUJf5wOBzIy8tjlavdbsfvf/97TE1Nobq6Gl6vF+Xl5Zwc0dTUxGCIFKtye5OJiQmYzWYMDg4iFouhubkZL7/8MqtPCazMzc1hbGwMmUwG7e3tKCgoyPKuU1I0Ap+Vw1QqFZfSioqKcPz4cXR3dzOYFVM05MdG/FyHw4E//OEP8Hg8EqayqqoK/f39ACCxHrHZbFyC9Pv9aG1t3TOiTGSeKG2EMnxF0U5paSln7ubKLabtFsuIOzs7OHfuHAwGAyec0OsIGOl0OjQ2NkreS7FwohceNf5TZi71U7W2tmJ7extWqxVLS0t4/vnn2XIhk8mgubkZKpUKBQUF6Ovrw7lz5zg6jo732toaLBYLjh07hgsXLsDn8yEvLw+dnZ3M4L333nv46KOPcPfuXXz66adIJBL485//jKWlJayurmZZ5pw9exZHjx7N+rmvr489tILBIB/P4uJi9uYjVjuVSnGpV872Utm1uroa9+7dw/DwMNLpNA4fPgyz2YzNzU2UlJRArVYz+CK7ovX1dayuriKdTjOgpFYCt9uNW7duobS0lPvwCDB/ngQeug8oivH8+fNYX1/PYvTlWeH0nCKWhoRcExMTsNvtaGtrQzAYxOHDh9Hc3AyDYbcP7fe//z2amppgs9kAYM8Iyb2ei3Q+xImIAJuSTQwZRZOFCEUykt8j7d/hw4f5uwksisILuWgDQNZCPJcHnhIgJVNs0WJGZChpiGwSLSjFSVtszpdn9RLTJ3+ueL1e6HQ6XqQpsX/y/kO5wbccUIh9ZhqNhuP8yEpmfX0dra2t3GdJgLuurk4iUBCPt2idI2etxHNNvW6kaiZXhs3NTVYY0zmlfkn6O/VMigwX+UJSGR4AG11brVYkk0l0dXU9sC+PBE9ra2tIJpOYn5+HzWZDOp1mpwiKfdvrM8RrXzwvDwJhpKKW3ztk2aNU8v+fCJn+kuMLCQDpwNLqklZz8/PzKC0tRV1dHfdaUFDzXkzPzs4OFhcXcefOHe7Boh6Nhx56CDs7O3tOFuTxRibSbW1tSCQSbFL7wQcfYHFxEbFYDIcPH4bFYkFNTQ2uXLmCyclJpNNp7Nu3DxqNBplMBl/+8pdRXV3NYJWUooDUsPbDDz+EwbCb5/jyyy+joaEBmUyGH4w0AU5OTrIZp9lsZmUuASERtMqHfKIMBAKoq6tDQ0MDGhsbs0BdrkmKmC/yY9ze3mbBQl1dnQRkEjNI/VdLS0tszdPV1ZUzxUEp+o4e6jSJr6yssLgkGJRmQSv1hon7HgzuKtkaGxthMBj4/JBgY2dnBx9//DFqamqwvb2dFQtHOcmRSASRSITtPQjoer1ezMzMwO12Y3R0FKurq9jZ2cFXvvIVFn6UlpbCaDSipqYG3/72t1FQUMDXw5UrV3D//n0sLy9zjnE4HIbX62U2cHt7G3fv3sXNmzehVqu5NE7HW6VSsfG1aJlDfal6vZ5LuwBw+fJl3L59G9evX0cmk8Hx48fhdDq5t+/UqVPQ6/WsJJaz6vJ7OpFIcCO5Wq3mhUI4HEZVVRWOHTuGV199le0gXC4X1Go1zGYzHnvsMYnAA9idxCcnJ6HVapHJZDijmBhCscWCyt9KQymKUTThFveBrke5wEe83sg6p76+HgcOHIDP58MPf/hD3L17FwMDA9xf297ermgMnuu5KJ+IgF2ARgry2tpaLsOLr4nH42xwPjs7i2AwiNXVVayvryMcDiMY3DW8ra2t5XKY3G+OJst4PM6vocWBuBCXizj2Yq9qa2sZvBG4AsCJKnRPiiU6pbQV+k4qI8u/V8x8pc8iwERMHO0fvVcOfEpLS7m/m86HnGkV91uv1/M20AJPPI4iA0vJGwTWiY2m5waBVbkaWCzJ0rxAljVi1i/lvpNBvZwRo20XS86BQIDBDn1OILAbwkDbsb6+ztWIXNctgVli4paWlqDRaGCz2dDV1QWTyZQFupRascRrn4yqHwTCqBxM7xX3hcy8lT5jr1aAv5WA/wolYJHCBXYv5ng8znE7FosFiUQC+fn5zJjlAnA02Y2NjbEzuclkYtNKm83GZUWlLN/3338fFy9eZBNprVYLu93OfUyhUAgAsLq6yrY0Op0OarUai4uLKC0txdraGsxmMzNVd+/eZTsMUp2SMITYEYfDgerqauTl5bGowel0MsOZTCZx5coVjI2NIRQK4dChQzh//jyrnYldI0AsGu6Kx1k+Ufb19WF6ehp6vR6XL1/OAnXySUoEUqLh8le+8hXOalSyHvH7/RgfH8fm5iavSA0GAzM44oo/V4SauD9LS0u4desWgsEgg1WDQZoFLZbvlPadyuEENik3+O7du/iP//gPzM3NYXh4mNXjYizc448/zjnJqVQKNpuN1XGLi4soLi7Ghx9+iMnJSTgcDhw5cgQej4cNusvLy3mFrdPpoNVq4XK5MDg4iMXFRUxNTcHhcODAgQPY2trCvn374Ha7OZKpvLwcm5ubSCaTDBLz8/Nhs9lQUVGB5eVlbG5uQqvVSiLsaJFz9epVZi0pzeX27dsYHR3FyMgIpqenkUwm8cILL6CoqIh7+2w2G55++mmcPn16z7QbsX+Teli3trY4ocXj8XBKC4ESUpjv27ePFcBiD151dTXW19cRiUTQ29vLGcWAtE+1u7sbDoeD7x0llkrsDRRNuOVD3ptLJXS63ioqKjA0NAS3281ehxMTExgZGUF+fj5mZ2fh9XoRiUQYBH6elCBx0LEZHBzE+vo6fvzjH2NmZgbT09MMqghs0LVhsViQSqU4f/bpp59mJWtnZye8Xq9EZAIAs7Oz2Nra4j7Mzc1N+P1+9s4Un8/yEhsdU3HiFRXDclZRZPHkTIv4OdQDKKZU0HeJIgklwUs8HmeGMZVKsVqXzjsNJTNgAlZKAJPK4QSgJicn+RgBuxn1FotFUi6l6620tJRLyZubmxIF8OzsLC/kaV/Fnj0CzGIEmsiCiuwv2ePQHEi/p/JvMBiEx+NhgKpUnhcVuWI2M5Wile4recmV+geLi4uzmDYaufpXaWECfFbyz6WwVvpc+fbkisyTD3F7/hrMH40vLAAUB50kuvjooUOZi9TTtNdK2mg0Mnuxs7MDs9mM06dPc49broQGr9eL69evY2FhgU2kDxw4gNOnT2NlZQVDQ0MIh8Pc4F9XV4djx45xCsLq6ir0ej22t7fR0tKCcDiMtbU1uFwu1NXV4cqVK7zCIzXy8vKyJP5t//79EjsPt3s3emtgYAAXL16ETqdDJBLBww8/jJaWFm4qX1hYYMBETf9KjebyifLdd9/Fxx9/jE8//RTxeBwNDQ0M6np7e9HU1CR5vxxIiYbLtCKXn59HH30UyWSSy/HJZBJtbW04f/48CgsLFbNp9zq/xEBSD5oIVnU6XVbvptK+U9mXwKZWq+U4o3A4jLm5OWYKCWCT+31BQQGCwV2DWIPBgEuXLmFtbQ3b29t4/PHHmTVLpVLo6enhZI7GxkY899xzXEIFdssy+/fvZw+5ixcvsiqYeubq6urw4osv4sSJE1xCpDi95eVlWK1WpNNpmEwmHDhwgM+B1WpVjLB74403cPHiRYmVEVkc3b9/H4lEAlVVVexl19HRgd7eXokI6EF2O+J5XF1d5QgrmoSphFxVVQWLxYJLly5haWkJBoMB//iP/4jKykrF9JS2tjZotVqcO3cuC0Dp9XqEw2GJh6fRaMTExEROQ3cCHLlKUaIvI/WxplIpNDU1obm5GVeuXOEScl5eHtLpNGpra3H37l0sLi5ia2sLTz31FPLy8rgXWOn6pJKu0nZQBvrt27fxy1/+En6/n1XUWq0WHR0dMJvNWawKRfSlUimkUincu3cPfr8f8Xgc4XCYFazEdlHkGJUwy8vLORWEwE8gEEAgEMhKC1HKQ6Znud1uzzJfJiCSi2mhc0M9gHKgSZ8jvk8sY9PraC5xuVzY2toCAJSUlCAWi/FxoMUR7SP1RxIjKiqQRbBKzztRfEFMHZVLVSoVIpEI3G43nwe6B8Tc3f3798Pv96OiooL3wWAwKAJlMoRWAinxeJx75slTUqfTcQsSGVeLDJ+csSV/THlpXc4iikys2+1mhwoxzScQCDCpQdeJ6PundB7Fc0d5vnQ90jH/PMNutyMSifB1KvYg5gJ2VAb/a5V9xfGFB4Bir4V48KmMJa7aH5S3W1ZWhqNHj6K6uhonT56UlHfoM+RZpBcvXoTf7+dYpcLCQqTTaRw6dAhqtZrNK7e2tnDs2DH2LKPPqaurw/LyMvr7+7GzswOdTofW1lbY7XY4nU5EIhH09PSwHxcJQ3Q6Hce/kZ3H8PAwrFYrlpeXAYBZGrVaDY1Gg56eHu4tampq4huQHtrLy8s5G81JZToyMoJ33nkHqVQKa2tr0Ov1SCQSaG5uxqlTp3gVvxeIJEAgj8IjH8L+/n5YLBb2LyTw90//9E8wGo05s2lznd+9GEgq5dbW1iqWlgOBgKQMSiBlZmYGk5OTrBrc2dlBKPGcON0AACAASURBVBTCzs4O6uvr8f3vfx9HjhyBz+fDysoK1tbWoFar4fF4sLi4iOHhYdTV1SEajcJgMKCnpwclJSUwmUyIx+M4cOAAurq68Oyzz6KgoID7+l5++WWO/AN2zbYpNaKpqQldXV38vrKyMhbzlJeX49y5czhx4gRmZmaws7MDlUqFRx99FPn5+dzjRudSznB/8MEH2N7eRn5+PiKRCKuWV1dXMT8/j2QyiXQ6jd7eXrzyyisM+MSWBKUHsZwREM9jT08Puru7EY1Gsbq6CrPZjL/7u7/DzMwMvF4votEozGYzSktLUVlZicbGxpx2TZWVlYrA0+Fw4NKlS9zC4HQ6cevWLWbnxESRB4nAACmIdTqdWFlZQVVVFTKZDPr7+zE4OMjXRCqVglqtxpEjR9Dc3Iy8vDwUFRWhsLAQKpUKdXV16OnpgdVqzZpY5Oby4vaQzcXw8DB2dnbg8Xig0+mwsrKCTCaD7u5uHDt2LOszvV4vlpaWcPz4cWxsbODIkSPQaDTYt28ftFotRkdH0dbWhoqKCvYFpHticnKSy6hkrAvsxqK1tbUxcyuCEjlDB4CFCh6PR5LH3dDQgJaWlqyynzgIzInJHAQg5OCTAIm4D/LzmMlkcPDgQRaAdXV1wWKxSPrgFhYWsL29zftLINBkMmWxY2LPYCwWQyAQwOzsLJdpiZWNxWI4deqUxCz54MGDvP8E1O/fv4+lpSWEw2EsLi5ifHwci4uL0Gg0EsGLmGAh3894PA6Hw4H8/HwUFxdzOgepn+n75CIPOrfEKNKzQlyQLCwssBAR2L3XqJQuZ50bGhpYLU4iN6p2kAXSXkpc+XUh+jo+qHwsDqo+iXGHdJ3Iv4dArJKx+F8LCH7hASDw2cEWV+dA9ol/EAMB7DKBVqsVNptN0nun9F1Ujq2qqoLf70c6nUZRURF8Ph+Wl5dx+vRpbG9vQ61WQ6vVMgsjqoovXLiApaUlaLVanDp1iifzxsZGbG1tYWtrCz6fT6IWJEUhNWZbrVao1WrcvHkTsVgMNpsNPT096OzsRDQaRSQSQV9fH86fP8+CAYvFAovFgpmZGezbtw/37t3LsqWgXh7a50wmg/n5eYyNjSEvLw9qtRpPPvkkGhsb0dfXxxmnxEDKvfZElbSSqAYAgyoCdW1tbTAYdtWxJSUlklIvqfSIqcp1fnMxkCaTSSLSUBL20IQvfmYikeBUCaPRiC996UuwWCx48cUXkZ+fj9dffx0NDQ0sMCLPuoaGBknOsdvt5vNK9j6kiD179izq6+slvZGJRAI9PT0MKOhY2Gw2LoU+88wzaGtry2K36bhQdCDFmcXjcVgsFm4N0Gq1EgCdTCYxMDAAu93Otix9fX2cYvK73/0OkUgERUVFOHjwIJ566inU19czc0hMWiKRwLVr1yRgRSnZhO5TYNfOyWKxwGazcXzd5cuX2dSXhDNiGk2uofRAlvelxuNxbG1toaCggDN1NRqNolpc6foWt5/sY9RqNVpaWrC2tsY9rTU1NSy0OXPmDL7+9a+zCXw6ncZDDz2Erq4udHZ2KkZLUs/xu+++i9HRUQZZ8ug7qhSo1WpUVlayWGxnZ0cCbIFd0PTjH/8Yfr+f01LILN9gMODKlSsYHByETqdDd3c338MUhbZv3z4GB4uLi+zXJgd5IlsiZ4NIbAB8VrIkTzk5UJRPxCKQoWufAIQcfFIplSb1vRSqtH2kQJWDj0QiwSBodnYWFoslq/eMSqmUuyz2YFPaEVmPkCWNCF4AZJWyjUYjjh49ilAoxPt35swZZniVBC/ythmlPsaSkhJotVpotVoJW0ipF2LfqMiEAp95FtJ7YrEYv5baYMj4WjzeJGQRzcPFjF1iVHOJXeT7FAwGsb6+DpfLxapiWgDQNZuLERRFNWKkrBK7J29D+2uKP2j8DQD+9yD/KvGiFR8wuVZASsNgMCgqhuWvIdCVSCRgtVqxs7OD1dVVSZZoT08PysvL8dJLLzFzs729Lel7I9bOZDLh+PHjAMD9U0eOHOFwccp0FdXGNNFeuHAB0WgUiUQC/f39cLvdsFgsOHr0KJe/AODNN9+Ew+HAzMwMMykTExMIBoNYXFzEwYMHcfbsWYRCIVy+fBlerxdarZatAsgGhZjJF198kX3ACJgpGTeLTehKJtcbGxv44IMPmCGhCY3UtSILEgwG4XQ6EY1GJfFuQLahM517YpaIYYzH45iYmJCINHQ6naTsqcQ0in1qFRUVmJiYQCgUQkdHB44dO4bKykqUlJTwNog2Ii6XC4lEAvv27UNHR4fkvNLCRQSx8Xgcly5d4lI9lVqob1AEtaLZ9oOalgn8EdgUs41FAE1WQ+SpmE6ncezYMTz33HPQ6XSYm5tDNBrF9vY2J4E8/vjjaG5ulhy/mZkZ3L59G7dv3+Zz6/P58OMf/xhut1tiUA5Ik1empqYQj8fh9XqhUqngcDhQUVGBcDiMw4cPw2q1Snz95Oc911Bihauqqtij88qVK0gkEjCZTCgpKZEYZitd33L2w2g0QqfT8XOpqqoK+/btg9PpxNjYGBKJBDQaDavU6fo0GAw4e/YsAOCXv/wlm26L159oLg+AzeXlyTONjY3Q6XR4/PHHEYlEoNfrceDAAb6O6Fp3OBz4yU9+gomJCWQyGWxtbaGoqChLLV1YWCjJFdfr9SgqKmJT+I6ODpSXl8Pj8UgsVcTzMDk5KbHzEMulBoMB4+PjMJlMKC4uRiAQ4HJzJpNRLHcTG0YMFvAZ8MvPz88CjnupZnMt9nU6HcrKyh6YPUusk/xziA20WCzweDw4c+YM/H4/2trauN9RjG4jFo7Ok2jTIt82eVzZ2NiYpHcuV9+cvPeSAJdWq2UGV95/J4J3EjGJz16RVRX/HwwGmUUl4ZDIkIrbKZaLiQ2mcyqWYvcqARMoE+PZSMVMtjlyRpCqYaK4SKVSIZPJKIJFeY/n5ykV/yXG3wDgfw+i/+lnOjFOpxMDAwMoLCxkKvlBk8Pn8QeTg67XXnsNp0+flmSJEitBTbw1NTXMwNXW1mYZPVNebmVlJZqamrC8vMyqW8p0lauNRTBVW1uLYDCIkZEReDweLC8vs/ltJpPB1atXcePGDVRUVPC+6XQ6LC4uoqWlBXl5eXjooYcAAP/6r/+KixcvYnx8HDMzMzh06BCDBLGnCtgFCq2trVhdXYXT6eQUFTJc9vl8+MlPfsKTmdzkuri4GKlUCteuXWPPwuLiYu6xo/IsMUqVlZUYGhriXg0Ci0qee+K/6bPJusZsNuPDDz/k1SkJH3KJSsi2hErA1MsVDoeh1WqZrZQvHEQbkf7+foTDYcl5VWIsgd0H4NWrV6HVahUTLOQGw5S0QmOvHrFcjCm9lo41nVdipb/2ta8xyDSZTBxvVVNTg+9+97v8b7K7MZlM+PTTT/Hpp59y72kikcDvf/97zMzMMOAg8E2Ag9oZqG8yk8nwhFJQUAAAOH/+PFpbWyWqRALvDyrVin6RxAr39vaipKQEm5ubcLvdeOihhzgS8tChQ2z/Ir++E4lEVjk2FAqxqKOsrAxra2v46KOPsLCwgPX1dZhMJqysrMDn86GlpYUTXUpLSxEKhfCzn/0MExMTbBJOx6e8vJzN5anU2dvby73K4qDPo0D7jY0NRRHbJ598Ap/Ph52dHWa1n376aV500UJjbW2NRTYqlQpXr17F9evXYbfbMTk5ieLiYp6wiS2Tt+asr68zYyYHX/F4HGtra2hoaGDLqYqKCjY4J7Zafh3nYo7E61np/gKgSBIovV78myiyIBsyl8vFQpi9yoAEEqmXjsBFPB7nsnUsFmNQJ8/IBT4r8dOxTiaTDNqIPVT67lwKVfq9qC4GskUU5BFKAEwMFSCltN/vx8zMDFwuF/cdAmAQr6TOVSJniL3cqxS71xwuF6hEo1EusRcXF/M5pO8iMA+AW7Pofsp1DYkAmvQGf+sB/D+IghMtCegCMZlM8Pl8GB0dxcLCAme46vX6nA3e9Hl7lRnlryFGq7i4GDabDR0dHWyeLJbRBgcHUVRUJMl8bW9vZ4Xf/v372UKEFF80uff392N7extXr17FO++8g0QiAafTiZKSEolCmZqWCwoK2PCYGCO1Wo3r169z9jDZYSSTSQC7N0FLSws6Ozvxxhtv4OOPP8ba2hqCwSDW1tbYtJYmqsrKSi5PTk1NYXV1FcePH4ff75cYLq+srOCtt97C9PS0ZDKrqqpCdXU1AODo0aMYGRnhkhn53Y2MjHAcltFoxG9+8xsMDg7i0qVLcLvdUKvVfBy0Wq3Ei9BoNEqONf373r17eO+997C0tITR0VHo9XpUV1dLhA9KohQReG1sbMDj8WBychJFRUUsskmlUrh16xZvs7hwEG1ExPOaSw3r9/vxwx/+EBMTE4hGoxLfRXHQ54+NjUnKq3v1iIkjV2lUPK9PPPEEDAYD92aK302sVW9vL98TNBHfvXsXkUgE+fn5zHiRSXs6nYZKpWLA8dRTTzHgUKvVuHHjBtbX19kqqLOzEzqdDk8++SRGRkZQUFCAcDiMQ4cOScC+Wq3Gb37zG8VzIO6f3C+yu7sb09PT8Pv9OH78ONbW1uD3+7MiIeXX98bGBi5duiQRyFRVVeGtt97i/G+fzwefz4dMJgO1Wo1wOIz19XVYrVaUl5ejtLSUny/xeByTk5Nwu90c+1dRUYEvf/nLbFFDizDK01a6LuTnV56FXlZWhkAgwPcQ9YSaTCb84Ac/kAi56DxTewCwW0m4ceMGJicn0dbWxlnjTU1NXM4kYJfL6kXu5UeLeMoSFm1KqP+MJnWlz5Rb0Sj1feWazHOpSpVeL1e6EtNEQFTOJsoBG/U1iwwaMWKkYpYHGMj3gYQeFFFIPejA7sKR5gKllBY5QCWvRVq8AcD9+/dRWlqKmpoaPpYU/SgaVJNHotlsRjQahUajQXt7OwBwbx+BKSq/PwgkiYAwV4n18wAt6hn0er1IJpPcVkCWO5T4QkNkMP8nil5ilf8vxhcaAFJ5BQDbvxC9DAADAwNYWFiARqPBzZs3MTc3h//6r/9COBzOKjvREFe8TqeTS6rEDNHNIAIE0XpC7LcCpJYQN27ckGS+kqgjnU7j3/7t3zAyMoLbt28jk8mgvr4eZWVlknKg2H8HgEEcgUWtVouzZ88iHA5nZRJT2XL//v2IxWLo7e3Fo48+itLSUhaTHDhwAAsLC1yGTSQSrFCkB544UclZMpPJhPb2dlaaFhcXo6KiAoFAAJlMBj6fD4WFhejv70dhYSEGBgawsrICp9OJUCiEzc1NFBQUoLOzkxlCAuFTU1MYHh5GIBDAwsICN1trNBq0tLQgFAqxwTX1fiwtLcFqtfK/aaIj+xxacefl5WH//v052TW56bPBYEB9fT2Wl5dZcHPkyBHU1NTwNiv5IYrlOaVeReo1unTpEq5evYqJiQnU1NRgZWWFJ3D5e0KhEN5++21FD8pcPWIPuqfk53VnZwdtbW05BRbkX0asndPpxODgIF+n3/nOd1g8cvToUXz9619HLBZjb7Af/OAHXDYXmfVIJIJXX32VASwBIiox0jEGgIsXL2J4eBgff/wxnE4n99RRGUd+P4qLsIKCArz33nt8vFKpFB599NEssKd0fWs0GgwNDXE8YjAYxPz8PCYmJpBKpZCfn4/8/HxWG+t0Ojz22GMoKyvL6gkWnz8+nw/r6+vY3t7G9773PRw8eDDruO9lRaM0xOuOFgjXr1/H4uIiCgoKcPDgQTz99NNZKn7xvfQscTgcqKurw8LCAoLBIFpaWtDf388TvWi9oVRuFPvTxEV8RUUFg8N4PI779+/D4/Ew2PB4PAgEAlySBT6zcdna2kJtba0ioFMCeLRtgDI79qD3yN8nz54XX0+Ajfz6kslkTuFAIKAcC6eUfhIMBqHVahmEulwunDlzBg0NDQy2HtQ3R9UoUXSiVqvR19fHZtIUI6rT6ZjpFYUxVKIngYvFYkEsFkN+fj6Az1pzPq8YQz5EUCZ/Xy7LJvo+2q+uri4WeVBfqXwhQaIjJQNo+fiftpb9JcYXGgDKL26RXo7H49BoNHC5XJI+PVpRR6PRLGaPhl6vh9FoxK1bt5hpMBqNGBgYYEZFTElQ8o8DpJMpNcJT/wuBxrW1NVy6dAl3795FZWUlRkdHWZFLkUH0mfL+O7mnmZxhEjOJCbCKpUcqT9PDZmlpCfv27cPg4CBWVlagUqnYjPPQoUOSiUpeQiOw2dTUJGG4qAS8tbWFwsJC9PT0oKGhAW+99Rbefvtt3L17F263Gx0dHdBoNLBarXjppZckBrjl5eWIRqMYHx+H2+1Gc3MzCgsL2c7iW9/6FhoaGph9qq+vx1e/+lWEQiEG6KdOncLW1pbEPqetrQ0vv/wyjEajonKY1L9UthdZY4p0KikpQUtLCzfy/09Me8UhTsjUdxmNRrGysoKamhp8//vfz5qYA4FAFiucn58Pu93Omc2Aco/YXveUuLih2LjOzs6cANJkMjFrFwwGmYWmlI7KykqcPHkS+fn5qKmpwcGDB9He3o50Oo2///u/h9Fo5CQT8us0mUxs7E7bTWIcAt4UwTY3N4epqSkYjUYMDQ1hZWUFHo8Hhw4dwqlTp9jfT6n3lEQM8uNlNpvR2dmJZDLJOclK1/f+/fslWd+nTp3CSy+9hFgsxr97+OGH8dprr6G6uhpHjx7Fyy+/jM7OzqxKAQ16/ty5cwclJSVIp9M5F6u5Svx7nd9QKMQM3ujoKA4ePMjMJbUx5Hqv/FlCC9WXXnqJGf2FhQW88847qKury9o3eZ92rkU8GYfn5eXhxIkTbJ796KOPoqmpKeu9crsPOaBTAniUZJGLHdvLakZp8vd6vTmFSPRZInMHQGLWTUMpdQRQzuSNRqMSJlFUv+baBnGIoJLUvhQr6na7WdxoMpm4t7Kuro7bdOi9brcber0eNpuNQZ9YFnW73VksWS6ALR/y45wL3IvnRA4K6ZhR1Yd6/cT+U+ov/jzRdeL3/l+BP+ALDgDFIaeXJyYmeHUai8VQUFDA/1FfTK4JOhAIYGJiAm63Gw0NDXA6nbh8+TKuXLmCe/fuMaNCDJ2oFhYvvKWlJbS0tGBmZgZjY2NoaWnBN77xDY5rKysrg8lkQmFhIS5cuMDlpi9/+cvY2trKYpCo9LO1tYXnn38+6+G6F8Mkt9eQm/xevHgRV69exbVr12AymdDc3IyioiI8++yzaG9vl5QrlUpo4kQmfj99L/lZeb1efPzxx5ibm0Mmk4FGo0EkEkEikUBLSwuee+45NDc3S0Qb1BC+f/9+ZgkeeughHD16FM3NzawgJjPtnp4eNDU1oaSkBPv27UN3dzfcbje6u7tRUlLCjOeTTz7J5V/qh5L3kIllbqWyrlarxdLSElpbW/dcFOw1xAl5amoK+/fvRzweR3d3N4xGI77//e8rPtSVWGGygYlGo4o9Yna7Pec1T6pvYpQ3Njbg8/myhDlK20+s3fb2Nr71rW9hc3NTwo4bDAbcunULdrudATL9n0q2weBuUsb8/DyuXLnC5WKKdhOv442NDZSWlqK9vR0WiwVTU1MYHx9HMpnEY489hlQqhQMHDmB4eJgFHOSjSe0S9fX1zFopHa+mpiYYjUa4XC589atfZYAjv77lySDV1dWKvxMZO3mlQH4uJiYmMDc3h7a2tj3Tdf6f9r48uK3jTvNrggQB8ABJ8ADBS7xE8TBJiRItynZsU3bZlmQ7jke2HDvliXdmKjU5xplNJpOayZY4rt1MZTOb8Uy2drI18SaTxNlK7KxPxbIs+RBlUhIP8T4AErxAggQICKAIguLx9g/q1354fCApOxYYq78qlUgQeOjX3a/717/j+2ieqpG4q4EOpTabDampqeju7sb8/DwKCgpCDpTy96sdkGkMFhYWcPnyZXi9Xn7YO378OJqamtDa2oq9e/fycLOat2SjQzzloWo0Gvzud7/jYUrKuyQvM9GcKA0ku90eQrOiNPBoTZF7x4BQQ5BoZGJjYzlJNBVBKDd/eUEIPU/K8CtxGVKqkvxa8j6R979c4YRAMmXklZMXLlgslrDjrxxLpUGekJDAVUfIkzgxMYF9+/bx3Eq3242ZmRns2LEjxIMqSRI38ogMXO17NnptK+0OZ9zL+3Ej41JNnk4tl3Qz4+562v9pQRiAMshL9n/605+itbUVg4ODvNoRAJ566im+KSkXJgKdcqempmC320Oku4ikU6vVco4spSQYhXBefPFFZGRkYGRkhFMrEJGtPCT1yiuvwOPxIDY2FvX19QgGg0hJSeGbkxzBYJCHwDYK6alNXDm9Bm1etCGcO3eOS0D5/X4kJCTAaDTiT//0T0MS7TeSXAu3yBPJNBEQy6vDYmJicPDgQdxxxx3cKylvLxXEjI+Pw+fzoaSkBHfeeSfuu+8+dHV1YXx8nKtxjI2NcXJlvV7PNzmip6E8xcLCwpDNV270yaW7ent74fF4QrSTlRKAv/nNb0KqW5OTk0O47zaDfEOmk/Xc3Bxyc3PxxBNPoKCgAIWFhaqn23BeYZIrU+aIkdasxWIJMU7J+9jd3c29jyRIf/LkyZCcU6UXUZkPSx4/uboKGTRdXV1YWlrC9PQ093SS9nNmZibPjdPpdJiensatt94aIu1G30uUMuPj43wO7t69GzExMTxdgqoux8fHERMTg76+PsTExCAvL4+nBTz44IPQ6XTo7u5GaWkp8vLyQvpLTtNEBo6caoXu32QyceOODoNqIVpl7tJGnjaNRoPm5mZO66RGbC6vsia1IDUVE+VzSUVMZ8+eRUxMDMxmM/78z/+cG7jy7whXTEPP9OjoKGcxcLvdOHnyJM6cOQNg7QAsSRLi4+P5mrNRuNput3P1Hrq/pqYmNDU1YWFhgRPnj46O4sSJE+jr64PNZoMkSTy0SkaSzWbDXXfdhfz8fGRlZalu6spCAfqbMmRKVDZy0mh58Yhajp1cDYXebzKZQmTSqDBBmQupnAtqIVx5vqH89a0Yf+HaTPfmcDh4zio5UOjwTp8F1g6gcgObKmENBgNPd1B+z0acjOG8d/SaPI9SzbiX54DKx5a8vDabLYRvUS3Mq/ZZebu2ykV4oyAMwGugE11zczM6Ojr4CYAMOKIT0Gg03BOgXODkgz0/P4+KigpotVo8/PDDmJmZQUdHB2JiYlBdXY377rsP7e3tvAqOjBCr1Yq2tja88MILaGpqwunTp6HX61FSUsI3M71ezw0mCuGtrq5icXERtbW1uHLlCnJyctZ5XGhR3CjBfSPI6TXo80Q386tf/Qp2ux16vR7FxcXw+/1ISUnB3NwcT7QPVx1rsVh4oQuAdfxoBoMBWq0Ws7OzvOKScruqq6txzz33ICMjI2z+jNx7+cgjjyAxMRE2mw02m41XCjudTqSlpaGxsRF2ux0nT57E9PQ0Ojo6QvIu4+PjeaGHsl+bmprQ3NzM308VqMTbpayeVCvK0Wq1IXJ8m4G8xBRSKysrCyFypnwt5SGD+nl+fh579uxZp3ShNEDsdju+973vob29HS0tLdi9ezc3ckiz+u2330Zvby86OjqwuLjIDSdlzqnSiFHLh6X0gqioKHR3d/OK6/7+fp43WVBQgM7OTjgcDgwODqKgoAA5OTmoq6uDx+PhG6Pc+CFqmu7ubm54UC6t0Wjk6iOPPPIICgoK0NbWhjfeeAMLCwuIj4/Hrl27cOrUKTgcDkxMTODSpUvo7OxEa2sr7rrrLlRXV/PxVdI0KQ1RJU+kkjpqoxCtWihR7oGWMww8+eSTIcaZvG2JiYk4c+YMJ6TNzc0NKXJT8xLOz8/D6/VifHwcBw4cwMrKChITE9fd20ZMCMpnOisrC5WVlVhZWcH7778Pn88HnU6Hu+++G0NDQyFrVm9vLzdU5Pd86dIlFBYWYn5+Hu+99x66urp4FSmwVkyn1+sxNzeHxcVFFBUVcY7U3bt38+KTubk5vPbaa8jPz+fPw2YGGxXAyEGf6erqwtWrV2G1WjmTABE5r66u8qpRuSEm9wbSteT0M11dXfzvSo7BcIaEsmJZaciGM5zUjBw1o9LhcMDtdqOjo4PLlQJrEqaUukPEzXNzc7j99tt5pa+yUndxcXGdAUyaw8TJSJJ9qampIc+JmvdOnkc5OzuLyspKLolJRMz0WeL+k1eiE8+g272muEJk1AB4VETtcNbT08Pvi8LYG+VU3mgIA1AGg2GNvX3Pnj3o6uriChJpaWmIj49HcXExNwIArKsalZPWUojTbDbDYFhjuvf5fIiPj0dJSQkuXLiApqYm9PT0IC8vD729vXA6nUhKSsIHH3yA7u5uxMbGwuv1Ijo6GhqNBoWFhSGao0piZUmS4Pf70dPTA6vVGpK8vxE1yfWEfpSfpwR+UndYXl7m+WIVFRWqFCjKPDcKk7a2tuLcuXPcE0aw2WwYGhpCbW0tVldXceTIER4SA4D+/n6uMRvOaJKH3SRJQk5OTogaR3JyMnp7e3nhx9TUFC/0INUKebEO9UkgEAjZbKhSmd5PFajKsK5a+FVZuRxOX5lgt9vx4osvYufOnaipqQkhgFbzuNIho7OzEx9++CEyMzNhtVqRlZUVQlsgfx4MBgOsVitefvlltLe3w2KxcLkxnU6H9vZ2nD59Gi6XC36/H7Ozs3zDTk5ORn5+PgKBwLqcU+XYqIW+iTy5ra0NFy9e5AcfIsYdHByERqPhi6nT6cTS0hLm5uZw5MgRGAyGkOtRSDAjIwMXL17kVcI0B0lPlTzSDocDJ06cgN1uR1RUFC5fvgyXy4WZmRlkZGSgo6ODUxNNTEzA6XSiqqqK865tVAmuNJCUVefyMKXyMEBGmc/n454xuWFPeZByhgF5IQu1jcLewWAQt9xyC3p6etDS0sJzJOVtknsJTSYTMjMzuZqK2nOx2VpDY1FbWwuDwYDa2lpMTExAr9fjxIkTPHVj37598Hg87qnofwAAIABJREFU/DrDw8N44403kJubi9jY2BCvOz032dnZGBwcxMWLF2G32xEdHY2vfvWr0Ov1WFhYgMfj4XKORqORz0vyVn3ve99DZ2cn2tra+EFH/jyobeBqoW+iNOnu7uba2oFAgKspKSt11XL05EadfB2QV/oODAzwnzfL6QyXTycPT8uxWZ6d0ttVUlLCPbHUN+Pj40hISAiheyEvZyAQgMViQXR0NA9v+/3+dQUuapq6JIdHHjq5N5buVa2tyrA1eUPlFdlkLCrHgXSO5ePR0dERlrdSLtkXLvR8PcUsf2gIAxDrXdrz8/MIBoOYn5/HU089hYqKCvh8Pr6Q19TU8Apho9GIsbExNDY2cpUG8uSNj48jMzMT3d3dfKHt6enB2NgYxsfHUV1djcnJSa5GkJubi8uXL0Oj0cDtdmNlZQU6nQ7Hjh1DeXk5br/9dpw6dYpvEhUVFSgoKIDP58Ps7CyMRiOvJgRCk/eVxldiYqJqiDgcwm1oxPZPBJlZWVl49tlnsbq6GtJfcgoKOaEyaeO2trbC4XBgeHgYdrudc5vZ7XbOAUiKGCUlJdDr9Ziensbzzz+PM2fOoLu7Gz6fb8Nq1UAgwL0scXFxaG1thcfjQU5ODu677z6upTs3N4eUlBSYTCZe6CHPuwQ+2oQTEhJUNxu5rmw4vjx5+FWtCngjfWW73Y7vfOc7PFfqjjvu4N46uUeINmKj0YiOjg6Mjo7C4/HAarXinXfe4TJp5KVVg8lkgsViQUtLC4aHh6HVavGXf/mX2LNnDzIzMzEzM4OhoSG43W4sLy8jMTERmZmZWF1dRVVVFQoLC1VzTuVQ9pHSg3blyhXMz8/D4/GAMYYDBw5gaWkJGo0GHo+Hc/uR/FdiYiInMpaHBFtbW3Hy5Enu3XrmmWeg0+lCjLGKigougzgyMsJDlZcvX+ZeDJ/Px4vBbDYbLBYL0tLSQihZ1Axbt9sNh8OB5uZm2Gw2GI1G7nWQHz7Ii6U8DJBRfO7cOfzyl7/kB77e3l5YrVaeB+lyubhHVX5olOdClpaWIiYmBnq9HmfPnsX09DRXppiYmOCV7+np6dxLODk5idLSUiQnJ6O0tDRsEVs445dSbMiw93q9KCoqQmNjI9577z384he/gN/v57nWpFJE+aE0TidPnoTb7cbQ0BAaGxu51314eBhnzpxBX18fV7kgI2thYQGTk5Mhco5UmAOsFZ+88cYbaG9vR3Z2NiYnJ3H16lWkp6cjJydn3ZxVq9qVe9cMBgMaGxsxODjIvUhkGFEoUr7xy+lh1HLMlN+jVrixkcFGHmOlMUUOCiV5M7C1PLVAIACHw4GOjo4QWdPp6WlOJUNqI1RRq9frcfvtt4fIzJEHVl7gIjeQlX0wMjKC/Px8jI+P83A47eEkPUeHRbU8SqXHLlxIHwDnEySdYzmfoLJwRm5PUOV5T08PYmJiQsLXNK5bLWb5NCAMQKx3aaenp+Ps2bPwer3wer3Yu3dvSLECkQ4vLy9zDcv4+HiYzWbO20X5JvHx8UhNTcXLL7+M8+fPh8jfEFfVbbfdhmPHjqG6uhpXr17FE088AWAtx+PQoUN45plnOGO+8lRtNpuxZ88e6HQ6PPHEE1zCRo3glTakmZkZfs/h5KjUEM5TI+dzu//++1FWVsbfp7b5UBiEqAYA4Ny5cxgeHobZbEZKSgqio6MRCATwk5/8BN3d3QgGgzwPj/J1nn/+ebS0tMDv9yMuLg5XrlzB8vJyyKJCkFfJdnV14Z133sH4+JqUmsfjwdTUFILBIPbs2YP5+XkuUUfeRjVqntbWVvzmN7/h/Fa02ajpyobLqSRS7McffzykCjgpKQl+vx+jo6PrQmhWqxW//OUvcerUKcTExHDOt+Li4nVGJm3ELpeL5/6MjIwgNjYWV69e5QZTuIp2QnJyMlJTU/H+++9j586dkCQJBQUFXBouNTUVVVVV0Ol0iIqKglarRV1dHe655x7ccsstWyoO2Cg0TGF/4pG02+0oKyvDV77yFYyNjQEA10KmAi2DwRDiFWtra8PS0hKXLyTdU5fLtS5Pk3LJzp49i/HxcURFRSE/Px8xMTEoKyvjh4bJyUnYbDYwxrB7924utygfYyV1SldXF6e96O3tRVFRER599FFedU7hVOVhoK+vD+Pj42hpaeHG6dzcHMbGxjiptMvlgsFg4DmUtbW1OHXqlKpcoV6vR0xMDJaXlzE5OYn9+/djamoKc3NzKCgowL333oumpibY7XYuMef3+7k3j6rc1Q6RlAIjXyu8Xi/P2aR8zpmZGTgcDj4W4+PjuHz5MgKBAD9MPfTQQzxXt6+vD2lpaZicnITH48HOnTsBrK0pHo+HswVkZ2fzPLTi4mJO+i2fT4cOHUJFRQVvs8Vi4QedyclJWCwWfO1rX1OltaGQs5I7Ux4upwNMbGws5ubmsLq6yj3tly9fXidjKD+4ka6t8pkhw2JxcZET9jPGcPXqVdjt9nXqGsrPKnVnyUAaGBjgxRtbybMjEM0LFX8A4Otqamoqp39RevPUlELof3k+ofLv8j4gzzuR+8v1o9PS0lBSUgKTyRSyt1MYOVwurdrPtFcSdVhJSQm8Xi+sVisPFxNV2PLyMvc0A2vzMisrC8FgkFPgUJFSOIP8RkIYgArY7XZeEKDMEbJYLPD7/TwXqq+vD3q9HmVlZUhJSYHP58OOHTtgNpu58kJNTQ0GBgZgtVqxvLyM6Ohonn9SX1+PQ4cOce1VMoxKS0uxb98+xMbG4sknn+S5XOFO1ZSvFS55Xw6n04mf//zn6OjowKVLl7hCB7A1XqWJiQlVPjna6OSePgA4ffr0urCWMg+R2m2325GSkoLMzExoNBoEAgHulbDZbFhZWUFdXR28Xi+cTicWFhYQHR2NyclJMMZQVVWF3NxcLnNH97S4uBhCPEu5YzMzM5ienkZ1dTUeffRRnpdDBRRqbO5u95qUVnd3N5aWljAyMoLs7Gx4vV6u26okPN4INHa0aVRUVPDw19jYmGoITZIkzMzM4MKFC3wxfeCBB1BVVbVu/JT5j3v37sXIyAjS09O50bdRRTvd8+TkJH7yk5/A6XTCYDCEqEtQEUNFRQVqa2u5hGB9fT1sNhtXYiGQIbBRyF7Zdqq41mq1sNvtcDqdyM3NRXV1NUZGRjA/P4/y8nJUVVXhyJEjAMC9ReQV83q9mJ6exvj4OAYHB3mO3MMPP4y5ubl1z1VKSgrKy8sxOjqKlZUVTkP0+OOP8wPZyMgIsrKywBgLkeWT911qairPlfzZz36GkydPwmq1wul0QqvVIisrC/v37+eHTKI/Is8g0RhNTk7C6/VyzwJ5P6mvdDodD2kTt5rNZgsrVwggJJy7sLDAc0gPHjyIs2fPcoWJiooKeDyedcVlauuFvMqfwuny/OPLly9ztYeVlRWUlpYiISGBGyNxcXFISkpCXV0dSkpKYDabUVpaitLSUpw5c4YfZu677z5ONUV0TIcPH4bD4UBvby+qqqp4cRh54jdSvgHWDjq7d+/G1atXuSa32v0p1zBa1+ReZNJK7+7uRmFhIe655x7OOSpPHzIajVxlig4Jk5OTyMvLW5c3ScZMf38/5ufnceDAAVy5cgXBYBD9/f08f1BpsNFnr169Cr/fj8rKSgBrBhwALC8vc6Jj0j9W5tmpjTWFUE0mE/e6rayscI+pyWTC9PT0ulw9pVeTvHTUbvLoKecY3QewdhCm/tRoNADACZvVOBLDFWfIr632M2FwcJDn/plMJuTn54flTvR6vdi5cycP1RMROfBRsSkRtofjc7wREAagDG63G4wxOJ1OnvApD5U6HA68/PLLuHjxIgwGA8bGxvhg1dTUIDExEY899hiqq6v5ppWVlQWtVsvVHxITE1FWVoa///u/R3Z2NoaGhpCTk4NgMIgXXniBh4fLy8tRWFgYloolHHfgRgSvNpsNP/jBD/Dee+9hZGQkJKTDGAtbhEGgKtCioiLVcJ584lqtVgwPD6typqlVxWZlZaG4uJiHe6ampnD16lUkJCRgZWUFq6urOHDgACe5fvDBB0N0hh944AHodDref7Qok8eB8l6sVismJiYgSRIOHjzICT5LSkq4x4Ioa9QexMXFRU4ITYtnauqaCop8s7ke0IJBmyYZseHyxwyGNSJp8lweOnQIDz30EDe+lZB7oZKTk/niLqezCddmMtZsNhu6u7sRFxcHl8sFk8kUoi5BCzrpBCclJa0z/insqpQj3MwIlNPsUH5rXl4eVyzw+XwoLCxEIBCA2WxGQkICz4OjeWYwGHiokaT0Kisr4fV6eUiZQoLyvqBQZ05OTsihig5klJ9YUlKCp556ilfx0sGDnqnm5ma88sor6Onpwfz8PFdCIANDq9XyQyYd6lJSUtDf34+MjAzOAkCb99zcHAyGNc3xyspKZGRkwGw249ChQyHqEBqNBq+99to6uUJlH1M49/Dhw7xIivIIFxcXUVBQAK/Xq1pcppwvSkNoYmIiJOTd29sLSZKQnp4Ol8sVQt9SUlICxhhycnJQU1PDiehTU1NhNpuxb98++Hw+/MM//AMeeOABnkpCXnqDYY0uiFI7KAWBQDm1ciYDJZKTkzl7gBLK/Ea73c69b3Iiea1WC51Oh8HBQbhcLpjNZhw4cGAdl+Tw8DD6+/vhcrlgNBq5AkxfX1/YlBa73Y7vf//76O/v5wUxfX19GBgYwNjYGOrr60O0z+VeM5/Ph+bmZp4mJJePm5ub4zy3KSkp8Hq9OHfuHHJzc9e1QZk2NT09zdfr6Oho7N27lxuNAwMDSEhI4HmGapJnyiicWnGH/HsXFhZ4ugkdMolUmsLOSjUZg+GjoiqqRJb/bTOE02pW407s6OhAQkICX5/c7jUBguXlZV78s7i4iLS0NADrw903CsIAlKG7uxtNTU1cnJwKDWjzolyotrY2TExMYHZ2lnv0Dh8+jKWlJV45Jg/7dHd347bbbkNmZiZqamrw6KOPIiUlJUSwfmxsDOfPn+c8SfJqXznCqUDIES5n5N1330V7ezs3xijPRq/X49y5c+jq6lItwgAQtgpUDUodWDJijhw5wnM21Ayb1dVVnm9lNpvhdruRmZmJ0dFRpKWlwWKxcA+bTqeDx+OB0WiE2WxGVFQU3G53SMjsvffew9jYGK5evQqdTgefz4eKigrs3bsX2dnZCAQCIXq6GylsyPPIaH6UlZXhySefRFRUFNLS0lBdXb1lz5+yv3784x/zcC95ZTfiBAwGgxgcHOSSYMvLy1uWbCMOOaq0DTeX6H67urpw4cIFLldXWFiIb33rWyEbpHwRJTkypRyiJEloampaV/m8EcG0nJxXGdKWE3a7XC4+xygvVT7PampqeKgxPj6ehzqzs7Px7LPPory8fF0OIrWJjFrlocrpdOIXv/gFP1BUVlbCarVCo9GgqamJV/iTgfP222/D4XDwYqGoqChER0ejpqaGh47lRRIvvvgiLwLT6XQ87+sLX/gC9u7dC71ej4mJCbhcLkRHR+OLX/xiSEiT6HPcbjfPTyS5QjVPMd2/MtqQmpoKj8eD5uZmDAwMhFWGUSv+mJ+fx/DwMBYXFzE/P49AIIC0tDSkpaVhamqKE+kuLS1hdHQUi4uLSE9PR21tLffkygthzGYzT3uRp5Lo9XoEAgG8++67aGpqQnFxMfeUZmRkcIPm3XffxcWLF3mOttFoVD3whnsm5HOQlJ6+8IUvoLS0lL+2uLiIsrIyuN1udHV1obCwkDM4EEE1vXdkZAQ2mw1dXV1obW3F2NgYlpaWwBhTJWC32Wx47rnncPbsWUxNTWFgYICHv4ltQJ6HSm1OTU3lMoezs7P84Etygp2dnbDZbHA6ndyoe+eddzAwMLAudUB+zdTUVHR0dGB4eJhrL/v9fi6/Rtygq6urXPZts3Cn3FOnxnFIHvX+/n4AwMrKChYXFzExMYHl5WVe+S3/HDkA6Hqzs7M89LpRDp7c0CVlEuJ1pP4lRSI57HY7ysvLkZKSwqUJ9Xo938cWFha4g4nob+j+biSEAXgNbrebF3aYzWaeL0FeFnoAVlZWkJWVhXPnzkGr1SIYDPKNLRgMcqJRediDctfq6uqQkZGB5OTkkOT86elp2Gw2TExMYGxsDGVlZSEKBGoM/teLxcVFzmnm8Xh4NVpdXR0sFgtaW1vhdrtDijAoLKGsApUnRysnfjgdWKLOUeYGKSXSMjMzeeiLNt7Z2VkUFRVxAy8xMRFvvvkmurq6cP78ec5tSGF4ZQ6V2+1GcXExzGYzHnnkERQXF3NuR6WerlruoLK6kq5pNpuRnp6O8+fP80UiHLUOVQwrT7OBQACvv/46fv/732PHjh0hvHXhcqxoo7VarcjMzERzc3OIN3cr9DHyPg9H/9DS0sLz5oj4OCYmBnfffTcqKipCjBX5Ji1XeZHLIRqNRl75vLKygqioKE4No9Y3SloUQD0svFFeqtwTr9Fo8Oabb2J8fBzJyclITEzEt7/9bVRXV4f0iRp/nfJQRc9EV1cXcnNzMTU1hebmZjgcDrz66qvo7+/HwMAAdu3axTd4l8vFNyij0Yhbb70V8fHxqKurCwkd02Ht7NmzvMiL5i/NVyqyIi9CUlISzGYz3/jJcDaZ1jhF/X7/pqF++f3Ji7U0Gg1aWlqwtLQEILwyjDJvMykpCU6nE2+//TY6OjqwtLSEnTt3YseOHaitreVh9L6+Pu6xKyoqgt/vD3nOlV5ki8WiGoaNiorCiRMneG5WMBiEVquFz+fjWuBysvTx8XGMjo5yA3ErIN5GpdITEYo3NjYCWKv+rKys5MV/ci5GvV4Po9GIwcFBuN1urvFMh363242YmBjU1dWF5HC73W6cPn0ab775JmZmZnj+WCAQwJUrV7jXkPKJ6TM0H1paWtDV1YWioqKQ6AvJctKa1tfXh5aWFr7ubsQY4fV68dJLL2F2dk3Bh3KCDQYDhoeH0dTUhNjYWF4ImZCQgKWlpU3DnfR6uCIUk8mE2NhY7Nu3D3a7nTsXqJrbZDKFrCnK4hAA3PDaiEcxEAjwfD4KLbvdbmRkZISkUQBra0JHR0dIXqC8EIYKJclAJeMvISEBFoslInmAN70BKHcpJyQkYHh4mG9aRqNxnWbo+fPnEQgE+ImLCioAICcnhyfUS5K0LgxFuVuFhYU8P4Tc8UajEVVVVfB6vSgvL0djY6NqAUC4e1DbwOUbGi2WCQkJ2L9/P2pra3HXXXfh8ccfh9/vx29/+1u4XC7k5OQgJSUFGo2GV6BmZWVtKTlazQNAmwJV8MqpNsJJpFH175/8yZ+grKwsRLrrzjvvxNDQEDdMrFYrz+3SarWorKzEsWPH1smqHTlyhOf0GQyGLXlS5TrMPp+PV1eSMUQyYsqQts/nCyFUJc8DyQDK+dVWV1fx05/+FAMDAxgYGEBVVRU+//nPh4R7leNLBlZvby/6+voQDAZx6623YmZmZl0xR7jwhtyrqUY1QuM2NTUFn88Hv98PxhjKyspw6NAhHvpVozOhMaaDEm2SVLU+NTWFsbExHDhwAI8//vi6eSAv2CFPjbJ4QT524cZSGT4mb5hWq+U5VDabDfv27Qup7g7HXyfvS0mSUFRUhJaWFu55MBgMMBqNmJiYQHZ2NmZnZ+HxeOByubC0tASn08kpLxITExEMBqHX6/H000+HbECLi4v44IMPeC5ybm4ujh07ti4nlYwbv9+PjIwMnqoiH1PyJGu12k3VZZQqL5ROUlpaCqfTGba4TNnnSsORUjrIY3XlyhW0trZCr9djcHAQwFoInFgM5M+WGpWMmo54IBDgXrSdO3fC6XRy/lQ6ULrdbhQUFPCfaX2iAprNDk7ywyAZnrQ/BAIBPq+pqOLs2bMwGo1gjK3jYkxJSeEHYurXO+64A8eOHcPCwgIOHDiAY8eOhYxXIBDA5OQkzp8/vy7k6vP5sLCwwCXIlGk92dnZMJlMGB4eXsdJSvN2dnYWw8PDmJmZQVxcHCfFVyMSp+ehpaUFg4ODPF9+dXWVp/K8+uqr6OrqQktLCw/19/T0IDc3F/n5+WENno3IkpUHRYPBgMHBQaSkpIR8xul04t1334XD4eD6vEQ74/F4MDw8DI1Gg2AwyNO9Nso5pHxIuaKJEmp5gRT6Jq/o0tISEhISYDKZsLCwgMTERFRWVt5wzx/hExmAjLH7Gxoa3mxoaHi2oaHBcPz48UbF31lDQ8O/NDQ0/GtDQ8OfNTQ0nD9+/PjURte80QagfICvXLnCB+2OO+4I0fGsra3F6dOn+QmCkuiXl5dRUVHBCYLplK0MQymrOrOystDW1sYTWdPT0+F0OvmJnjwLFA4OV6GptoGrVaO1tbUhOzubFzkcOHAApaWl8Pv9+Kd/+ie43W5eyZqfn7+uAjUmJga33XbbhsnRavq+tbW1OHfuHFpbW/Haa6/B7XbD6XQiOzt7He8Zbf5y9YTy8nKUl5evk+6amprip2B6INPS0lBQUMA3SjVNY+XYhwMtbq2trZifn8eVK1eg0WhQVlYGp9OJBx98kOdoyu+3pKQE77zzDlfLoJy3V155BZcuXeLejddffx1NTU14/fXXMT09jcLCQp44XFRUFFJxrDSOKFdQrl7hdDq5p42MiXDGnZpqidpBgzZzj8fD9ZjNZjMPN6vlMxEd0uDgIAKBAGZmZkIOUcFgEFNTU3C5XMjPz8eOHTtC2iD31JDOrNozsNWxlL/fZDKho6MD3d3dfG55PB7+PEuSFJa/Tu6NdDgc6OnpQWFhIQ4cOIDp6WkwxnDlyhV4vV6kpKQgIyODK+AYjUaUlpZiZmYGGo0G+fn52LlzJye0pbAshctaWlrQ2dmJuLg4BINBZGRkoKioKCTHU86jxxhDUlISCgoK4HA41nnN5Ckp4RBO5YUOS5sVl8khNxyHhobQ2dkJn8+H9PR0XmxAz28wGER8fDxiY2NDKu/Vwvhyg0X5t9tvvx3t7e3o6enBzMwMqqqqsHPnTvh8vpBUAVr/4uLiMD8/j507d266xlJ/qxUVyQ+YiYmJuHDhAgYHB3mVfV5eHoCP0i6UqRjyfq2vr8eJEyd4FECpn01G/9DQEGZn16TTtFotDAYDLzDQ6XRITExEbGwsT+v58MMPsWvXLmRmZoal7klJSYHRaMTo6CgvZiOqHHleqfLZokMi9cPnPvc56HQ6rk5ksVgwMjKCQCCA/Px8rK6uorCwkFfZq0GZD0j5cWpE6TabDVarFbt27eLh7OHhYVy6dIn/rb6+HnFxcdi3bx8kSeK8ryaTiRt0GxW6AGv7ARnqwOYKHpSaQB7E2NhYTE5OYmZmBgkJCUhOTg7REZZ/zx9FEQhjTAPgLQD3Afg+gH9paGj44Pjx4y7ZxQ8BeADAfgDtAH58/Pjxf9/oupHMAZydneWLrMPhQElJCaampnDbbbdhfHw8JPxXXFyMHTt24LHHHsOOHTtUE+rlp2F5Vafdbkdvby8aGxuh0WgwMzODkpISXlTS3d2N2dlZXk6vpJYgqHkr1KrR4uLi0NjYyGWhaIGlopb29nbk5eVhYWEB6enp3PBU8tGR3FU4WgSlvm9NTQ1sNhv31pFYNgmzy3nPiFSavKby13U6HQ+zUoFMeXk5DAYDHn30UTidTqSkpKCoqCikQnErXr5wMBjW5LReeuklTlmRkZHB9URJ2kueq1dSUoIf/vCHPE8yLy8P7e3teP/99xEMBgGAex6mp6dRVFSExcVFuN1ueL1e6HQ6/PVf/zXKy8tVx1dJFlxeXo68vDwUFBSEeNrU5oHcwCavppw/LVyYx+FwcKqbqKgoDA0NYXJyEpOTk+u0cRcXF6HT6ZCfn89VUJaXl7nHoaioiPPJ6XQ6+P3+kHlAVAo097q6uhAIBLhR8HHGUQ69Xo/KykpotVpOWi33ZqsZFnKi8t7eXrS1teH3v/89Jicn4XQ6kZyczD0NSUlJiIuLwwMPPICCggI8/vjjKCoq4kngFRUVuPXWW/HlL3+ZS3jRgZG8oDk5OYiLi8Nrr70Gq9UKl8uFtLQ0rrcrH8Pe3l6MjIzwDZgMx+np6XVjulF4aSv5vRsVl6mBDMdbbrkFCQkJiImJQWpqKubm5rC0tIS8vDxkZWXBaDRCo9FwKiy5l3OjojdlRa/cEPD7/bjrrrtw5513cjlBearA3XffzauQaV0Lt8YC4SMbcrnC5ORkbtApq+xLSkrCht6pX41GI9rb23nYX063ozQaqbCmoKAA6enpeO6555CQkICxsTGkpqZi7969sFgsGBwcxMTEBI9qERdfuDWRDi7EeUtUOWrV0mrjQI4PZa5uZmYmEhISMD8/j5ycnOt6likErLbXOZ1OPP/88/yASlyZTU1N6O/vD7l3i8WCgoIC/rvJZOLFRVvhOqQCN6ViSzhjjfIC5fmX//Ef/8HzYCsqKqDT6UK+dyPpxE8LH9sAbGho2A+gUpKkfz1+/PhKQ0NDMoBdci9gQ0PDtwC8KklS1/HjxycaGhq+3dDQ8PLx48evhLtupGlgFhcX8eabb3LCWFK3kJOrykOKRUVFGybU0wMur+okqpOBgQFERUXxMvqFhQXExMTwHDxJkrB///511BKA+qKkVmU7Pz+P5uZmBIPBdbJQVNRCod28vDx8/etfxx133BHWc7lv3751kzOcvi+FHSiMCIAviHQiVyOVVibvq4VZqWKyoKAAxcXFSEpKUg1xfdzTFOWEfvjhh1haWoLD4cDk5CSGh4dRWVkZ4jUwmdbk8N55552QPEmNRsMpJej0ePvtt+Oxxx7j915UVISjR49yRZKlpSW+kCmrDZVkwZQzpBaOUqu2VhrYc3NznPBcqeZAfdDT04PJyUkEg0FexVZXV4eFhQU+DiR5ePjwYVy+fDnkGSEVlNraWjQ2NsJms+H8+fM8FPulL30JCwsLnLT4wQcfxMTExKY6sx8Xer0e2dnZuPPOO1W35RIXAAAMdklEQVS92coNjYjKe3t7ERMTgzfeeAMTExMA1gpxyAOt0WjgcrlgsVjwxBNPcGqnlJQUfr3Dhw+jqKgIWVlZIWFZ4CPKmt7eXgQCAbhca+foxcVFZGdnq6aWELm3x+NBWloazp8/zw1bxljY0J0c15Pfq1ZcttX+rqmpgdlsDjmw7dq1C08//TSSkpK4DOFGxSlq1ybqKVo3yMNHuuDKVAGixhkdHeXGohp9j/K+1Q4Gamv+9VbZ0/WjoqLwwQcfoKenZ1OjlCrTqR11dXW45ZZbkJiYiP379+PYsWMwGo348MMPuU42eSA3OwzI5yvd42ZQGyMl/dSuXbsQGxu7qfdYDWoh/5mZGfz6179Gf38/V2uKjY2FxWJBTEwM2traQu49NTUVWq0Wb7/9Nmw2G2ZnZ1FYWMhzP7cyrzfLS5RDuY4Sd2dhYeE6rlFgc+nETwvhDMDoLXw2C8C47PcJALdu4T1ZAELCwIyxvwDwFwBUY+s3EhcuXMDQ0BCWlpYwOTmJtLQ0DA0NIS8vD/X19VySTD6JaTKEmxT0+tGjR3HhwgXU1tYC+IhMtLq6Gp///Odx6tQp7jZPSEhAUVERDh48qPrApKamora2FqOjo1xHsb6+HgC4sDXpG/r9fuTn52NkZCSEywhY43x67rnn8Nvf/hZHjx7lm+HRo0dx5swZSJKErq4umM1mOBwOXLhwATU1NSF8SqTioXwPsLZY0X3v3LkTg4ODvP/k/UH3qPa6yWQKuU9l/5MRfr0Ly1ZBMnu5ublwOBzo7OxEZWVlSDtqamqQkpKCzs5OnidJ/VlYWMh5sWg86R4LCws5FVBJSUlI/8nHt7CwEPfeey/XoZX3Q2pq6obzINx7i4qKcO+994aMiRzyOQasbQ55eXmcQFp5/7TpKce0oKAAg4ODGBoagkajgVar5XQn09PTIc8VcYiZTCZUVlZiZmZm3Zz9pKDw0iOPPKKaypCcnIyamhre/traWp7EbjQakZCQAI/HA4vFgoMHD6K1tZUXbH3zm99cd03l9eSvrayshDw/TqcTwEfroFarRUxMDJeBVI5hdXU15ufnYbVaORfh9PQ0UlNTUV9fv+kzUVxcjKNHj6rO2z8UqL/J+PjGN74Rso5SSGyjz2/2t3DrifKzZJxR/1VWVoZdY+XY6vWBj9aj1NTUTe8N+GgNvXz5Mu6++250dnZytZJwkH8Hte/w4cP85+TkZDz77LP40Y9+BJ1Oh6KiItVnPNy9KufrZlDrB/l1KA3hetdouq58LUxMTERcXBxngJiamoLJZEJhYSGfayaTKeTeq6qqMDQ0xFNwHA4HhoaGNjWI1XC9kQhaR7u7u+F0OtetnRvtoZEiiGYU6w77BsaOArhPkqQ/u/b7lwDUSpL0ddl73gTwfUmSGq/9fhrA30iS1Bruunv37pUocTUSkBdM0IJIXhqScvokgyL/vNfrxZkzZ/hC7fV6VQ2lzdqrXJTkrwFr3gUyBOg+lKBcRGVbNRrNpp+nPtvoPXTfyv4L15/K19Xu89MG5e9duHABy8vLyM/PR2ZmJnJycsJuGna7fZ0xTfcDQPXeN+o/5X2H64fN5sFG791sTtP7Kedxs3FQu57yuTKZTCgvL1d9rrxeL1544QVenRduzt5IeL1enD59mnuBFhcX8eyzzyI/Pz+kfzYKl210beX4A9hwLVA+49Q2Uhqqr6+/rraEm7efFj7pOvpJr/tx15NPq93yOZCYmIhnnnnmDzLn5TrqkX6GPinU9jWbzRbyLMqhvPet7FM3qv0fZw/9NMAYa5Ukae+6P0iStOE/AHUATsp+/y6A7yre8xMAT8h+HwCQudF1a2pqpEjD4/FIb731ljQ8PCy99dZbksfj+dS+y+Vyqf6ufP16rqF8je7n497HVj7/Sb9jK7iePvlDwePxSC+99FLIXNisHYODgx/re8L1X7g5stn7rve9G0H+/o87DtfzXN2I+XS9cLlcvF1Wq3Xd3z4J1O53s7VAOSaftM8+zrz9Y0Yk1pON8GnN+e12n58Eavua8lkM9375ZyK1rmw0FpFoG4AWScUO24oHMBrAIICDABwALgL4oiRJPbL3HAbwNQCHsBYe/hdJkmo3um6kPYCEcB6rP1b8IT2Xn9Z3bFfcqLnwWe0/Oa6nL7drf0Tae/VpX0MgchDjd334OP21nfv4RrctnAdwUwPw2ocPAfhnABoAL0iS9F8ZY18BAEmS/o2t6c38GMD9AAIAvixJ0obW3XYxAAUEBAQEBAQEPqsIZwBupQgEkiSdAHBC8dq/yX6WAHz1kzZSQEBAQEBAQEDg00dUpBsgICAgICAgICBwYyEMQAEBAQEBAQGBmwzCABQQEBAQEBAQuMkgDEABAQEBAQEBgZsMwgAUEBAQEBAQELjJIAxAAQEBAQEBAYGbDMIAFBAQEBAQEBC4ySAMQAEBAQEBAQGBmwzCABQQEBAQEBAQuMmwJSm4T+WLGXMBGL2BX5kKwH0Dv++PEaKPNofoo80h+mhziD7aHKKPtgbRT5vjZu+jPEmS0pQvRswAvNFgjLWoaeEJfATRR5tD9NHmEH20OUQfbQ7RR1uD6KfNIfpIHSIELCAgICAgICBwk0EYgAICAgICAgICNxluJgPwf0e6AX8EEH20OUQfbQ7RR5tD9NHmEH20NYh+2hyij1Rw0+QACggICAgICAgIrOFm8gAKCAgICAgICAhAGIACAgICAgICAjcdPvMGIGPsfsbYAGPMxhj720i3Z7uBMZbDGHuXMdbHGOthjP1VpNu0XcEY0zDG2hljb0S6LdsVjLEkxthLjLH+a3OqLtJt2m5gjH3z2rPWzRj7NWNMF+k2RRqMsRcYYzOMsW7ZaymMsVOMMeu1/5Mj2cZII0wf/fdrz1onY+z/McaSItnG7QC1fpL97VuMMYkxlhqJtm03fKYNQMaYBsD/BPAAgDIATzDGyiLbqm2HZQD/WZKkUgD7AXxV9FFY/BWAvkg3YpvjeQBvSZK0C0AVRH+FgDGWBeAbAPZKklQBQAPgWGRbtS3wMwD3K177WwCnJUkqBnD62u83M36G9X10CkCFJEmVAAYBfPdGN2ob4mdY309gjOUAuBfA2I1u0HbFZ9oABFALwCZJ0rAkSVcB/F8AD0e4TdsKkiRNSZLUdu3nOaxt2FmRbdX2A2MsG8BhAP8e6bZsVzDGEgF8DsBPAUCSpKuSJF2ObKu2JaIB6Blj0QAMACYj3J6IQ5KkDwB4FC8/DODn137+OYDP39BGbTOo9ZEkSW9LkrR87ddmANk3vGHbDGHmEgD8CMDfABCVr9fwWTcAswCMy36fgDBuwoIxtgPAbgDnI9uSbYl/xtrisRrphmxjFABwAfg/10Ll/84Yi4t0o7YTJElyAPgh1rwQUwB8kiS9HdlWbVtkSJI0BawdVAGkR7g92x3PAPh9pBuxHcEYewiAQ5Kkjki3ZTvhs24AMpXXhPWvAsZYPICXATwrSZI/0u3ZTmCMHQEwI0lSa6Tbss0RDWAPgP8lSdJuAPMQYbsQXMtjexhAPgALgDjG2FORbZXAHzsYY3+HtXSeX0W6LdsNjDEDgL8D8F8i3Zbths+6ATgBIEf2ezZEuGUdGGMxWDP+fiVJ0u8i3Z5tiNsAPMQYG8FaGkE9Y+yXkW3StsQEgAlJksiD/BLWDEKBj3APALskSS5JkpYA/A7AgQi3abtimjGWCQDX/p+JcHu2JRhjTwM4AuBJSRD7qqEQaweujmtreDaANsaYOaKt2gb4rBuAFwEUM8byGWNarCVbvxbhNm0rMMYY1nK2+iRJ+h+Rbs92hCRJ35UkKVuSpB1Ym0NnJEkSXhsFJElyAhhnjJVce+kggN4INmk7YgzAfsaY4dqzdxCiUCYcXgPw9LWfnwbwagTbsi3BGLsfwHcAPCRJUiDS7dmOkCSpS5KkdEmSdlxbwycA7Lm2Xt3U+EwbgNeSY78G4CTWFtnfSJLUE9lWbTvcBuBLWPNqXbr271CkGyXwR4uvA/gVY6wTQDWA/xbh9mwrXPOOvgSgDUAX1tbgm16mijH2awBNAEoYYxOMsf8E4B8B3MsYs2KtevMfI9nGSCNMH/0YQAKAU9fW7n+LaCO3AcL0k4AKhBScgICAgICAgMBNhs+0B1BAQEBAQEBAQGA9hAEoICAgICAgIHCTQRiAAgICAgICAgI3GYQBKCAgICAgICBwk0EYgAICAgICAgICNxmEASggICAgICAgcJNBGIACAgICAgICAjcZ/j8YnRAgTM1SjwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((9,5))\n",
    "_=ax.plot(u1,u2,'+',label='rejected',alpha=.3,color='gray')\n",
    "_=ax.plot(u1[idx],u2[idx],'.',label='accepted',alpha=.3,color='k')\n",
    "_=ax.legend(fontsize=22)\n",
    "fig.tight_layout()\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_008.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_008.png, width=500\n",
    "frac=0.75] The proposed samples under the curve were accepted and the others\n",
    "were not. This shows the majority of samples were rejected.  <div\n",
    "id=\"fig:Sampling_Monte_Carlo_008\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_008\"></div>\n",
    "\n",
    "<p>The proposed samples under the\n",
    "curve were accepted and the others were not. This shows the majority of samples\n",
    "were rejected.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_008.png\"\n",
    "width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "The rejection method uses $u_1$ to select\n",
    "along the domain of $f(x)$ and the\n",
    "other $u_2$ uniform random variable  decides\n",
    "whether to accept or not. One idea\n",
    "would be to choose $u_1$ so that $x$ values\n",
    "are coincidentally those that are\n",
    "near the peak of $f(x)$, instead of uniformly\n",
    "anywhere in the domain,\n",
    "especially near the tails, which are low probability\n",
    "anyway. Now, the trick is\n",
    "to find a new density function $g(x)$ to sample from\n",
    "that has a similiar\n",
    "concentration of probability density. One way it to\n",
    "familiarize oneself with\n",
    "the probability density functions that have adjustable\n",
    "parameters and fast random\n",
    "sample generators already. There are lots of places\n",
    "to look and, chances are,\n",
    "there is likely already such a generator for your\n",
    "problem. Otherwise, the\n",
    "family of $\\beta$ densities is a good place to start.\n",
    "To be explicit, what we want is $u_1 \\sim g(x)$ so that, returning to our\n",
    "earlier argument,\n",
    "\n",
    "$$\n",
    "\\mathbb{P}\\left( u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{f(u_1)}{M}\n",
    "\\right) \\approx g(x) \\Delta x \\frac{f(u_1)}{M}\n",
    "$$\n",
    "\n",
    " but this is *not* what we need here. The problem is with the\n",
    "second part of the\n",
    "logical $\\bigwedge$ conjunction. We need to put\n",
    "something there that will give\n",
    "us something proportional to $f(x)$.\n",
    "Let us  define the following,\n",
    "\n",
    "<!-- Equation labels as ordinary links -->\n",
    "<div id=\"eq:rej01\"></div>\n",
    "\n",
    "$$\n",
    "\\begin{equation}\n",
    " h(x) = \\frac{f(x)}{g(x)} \n",
    "\\end{equation}\n",
    "\\label{eq:rej01}\n",
    "\\tag{2}\n",
    "$$\n",
    "\n",
    " with corresponding maximum on the domain as $h_{\\max}$ and\n",
    "then go back and\n",
    "construct the second part of the clause as\n",
    "\n",
    "$$\n",
    "\\mathbb{P}\\left(u_1 \\in N_{\\Delta}(x) \\bigwedge u_2 < \\frac{h(u_1)}{h_{\\max}}\n",
    "\\right) \\approx g(x) \\Delta x \\frac{h(u_1)}{h_{\\max}} = f(x)/h_{\\max}\n",
    "$$\n",
    "\n",
    " Recall that satisfying this criterion means that $u_1=x$. As before,\n",
    "we can\n",
    "estimate the probability of acceptance of the $u_1$ as $1/h_{\\max}$.\n",
    "\n",
    "Now, how\n",
    "to construct the $g(x)$ function in the denominator of Equation\n",
    "[2](#eq:rej01)?\n",
    "Here's where familarity with some standard probability densities\n",
    "pays off. For\n",
    "this case, we choose the $\\chi^2$ distribution. The following\n",
    "plots the $g(x)$\n",
    "and $f(x)$ (left plot) and the corresponding $h(x)=f(x)/g(x)$\n",
    "(right plot). Note\n",
    "that $g(x)$ and $f(x)$ have peaks that almost coincide,\n",
    "which is what we are\n",
    "looking for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "ch=scipy.stats.chi2(4) # chi-squared\n",
    "h = lambda x: f(x)/ch.pdf(x) # h-function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,axs=subplots(1,2,sharex=True)\n",
    "fig.set_size_inches(12,4)\n",
    "_=axs[0].plot(x,fx,label='$f(x)$',color='k')\n",
    "_=axs[0].plot(x,ch.pdf(x),'--',lw=2,label='$g(x)$',color='gray')\n",
    "_=axs[0].legend(loc=0,fontsize=24)\n",
    "_=axs[0].set_xlabel(r'$x$',fontsize=22)\n",
    "_=axs[1].plot(x,h(x),'-k',lw=3)\n",
    "_=axs[1].set_title('$h(x)=f(x)/g(x)$',fontsize=24)\n",
    "_=axs[1].set_xlabel(r'$x$',fontsize=22)\n",
    "fig.tight_layout()\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_009.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_009.png, width=500\n",
    "frac=0.95] The plot on the right shows $h(x)=f(x)/g(x)$ and the one on the left\n",
    "shows $f(x)$ and $g(x)$ separately. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_009\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_009\"></div>\n",
    "\n",
    "<p>The plot on the right shows\n",
    "$h(x)=f(x)/g(x)$ and the one on the left shows $f(x)$ and $g(x)$ separately.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_009.png\" width=500>\n",
    "\n",
    "<!-- end\n",
    "figure -->\n",
    "\n",
    "\n",
    " Now, let's generate  some samples from this $\\chi^2$\n",
    "distribution\n",
    "with the rejection method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "hmax=h(x).max()\n",
    "u1 = ch.rvs(5000)        # samples from chi-square distribution\n",
    "u2 = np.random.rand(5000)# uniform random samples\n",
    "idx = (u2 <= h(u1)/hmax) # rejection criterion\n",
    "v = u1[idx]              # keep these only"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((7,3))\n",
    "_=ax.hist(v,density=True,bins=40,alpha=.3,color='gray')\n",
    "_=ax.plot(x,fx,color='k',lw=3.,label='$f(x)$')\n",
    "_=ax.set_title('Estimated Efficency=%3.1f%%'%(100*len(v)/len(u1)))\n",
    "_=ax.axis(xmax=15)\n",
    "_=ax.legend(fontsize=18)\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_010.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_010.png, width=500\n",
    "frac=0.85]  Using the updated method, the histogram matches the target\n",
    "probability density function with high efficiency. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_010\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_010\"></div>\n",
    "\n",
    "<p>Using the updated method, the\n",
    "histogram matches the target probability density function with high\n",
    "efficiency.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_010.png\"\n",
    "width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "Using the $\\chi^2$ distribution with the\n",
    "rejection method results in throwing\n",
    "away less than 10% of the generated samples\n",
    "compared with our prior example\n",
    "where we threw out at least 80%. This is\n",
    "dramatically more\n",
    "efficient!  [Figure](#fig:Sampling_Monte_Carlo_010) shows that\n",
    "the histogram\n",
    "and the probability density function match.  For completeness,\n",
    "[Figure](#fig:Sampling_Monte_Carlo_011) shows the samples with the corresponding\n",
    "threshold $h(x)/h_{\\max}$ that was used to select them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots()\n",
    "fig.set_size_inches((7,4))\n",
    "_=ax.plot(u1,u2,'+',label='rejected',alpha=.3,color='gray')\n",
    "_=ax.plot(u1[idx],u2[idx],'g.',label='accepted',alpha=.3,color='k')\n",
    "_=ax.plot(x,h(x)/hmax,color='k',lw=3.,label='$h(x)$')\n",
    "_=ax.legend(fontsize=16,loc=0) \n",
    "_=ax.set_xlabel('$x$',fontsize=24)\n",
    "_=ax.set_xlabel('$h(x)$',fontsize=24)\n",
    "_=ax.axis(xmax=15,ymax=1.1)\n",
    "fig.tight_layout()\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_011.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_011.png, width=500\n",
    "frac=0.95]  Fewer proposed points were rejected in this case, which means better\n",
    "efficiency. <div id=\"fig:Sampling_Monte_Carlo_011\"></div> -->\n",
    "<!-- begin figure\n",
    "-->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_011\"></div>\n",
    "\n",
    "<p>Fewer proposed points were\n",
    "rejected in this case, which means better efficiency.</p>\n",
    "<img src=\"fig-\n",
    "probability/Sampling_Monte_Carlo_011.png\" width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "#\n",
    "Sampling Importance Resampling\n",
    "\n",
    "An alternative to the Rejection Method that does\n",
    "not involve rejecting samples\n",
    "or coming up with $M$ bounds or bounding functions\n",
    "is the Sampling Importance\n",
    "Resampling (SIR) method.  Choose a tractable $g$\n",
    "probability density function\n",
    "and draw a $n$ samples from it, $\\lbrace x_i\n",
    "\\rbrace_{i=1}^n$. Our objective is\n",
    "to derive samples $f$.  Next, compute the\n",
    "following,\n",
    "\n",
    "$$\n",
    "q_i = \\frac{w_i}{\\sum w_i}\n",
    "$$\n",
    "\n",
    " where\n",
    "\n",
    "$$\n",
    "w_i = \\frac{f(x_i)}{g(x_i)}\n",
    "$$\n",
    "\n",
    " The $q_i$ define a probability mass function whose samples\n",
    "approximate samples\n",
    "from $f$. To see this, consider,\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\mathbb{P}(X\\le a) =& \\sum_{i=1}^n q_i\n",
    "\\mathbb{I}_{(-\\infty,a]}(x_i) \\\\\n",
    "                   =& \\frac{\\sum_{i=1}^n w_i\n",
    "\\mathbb{I}_{(-\\infty,a]}(x_i)}{\\sum_{i=1}^n w_i} \\\\\n",
    "                   =&\n",
    "\\frac{\\frac{1}{n}\\sum_{i=1}^n \\frac{f(x_i)}{g(x_i)}\n",
    "\\mathbb{I}_{(-\\infty,a]}(x_i)}{\\frac{1}{n}\\sum_{i=1}^n \\frac{f(x_i)}{g(x_i)}}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    " Because the samples are generated from the $g$ probability distribution, \n",
    "the\n",
    "numerator is approximately,\n",
    "\n",
    "$$\n",
    "\\mathbb{E}_g\\left(\\frac{f(x)}{g(x)}\\right) = \\int_{-\\infty}^a f(x) dx\n",
    "$$\n",
    "\n",
    " which gives\n",
    "\n",
    "$$\n",
    "\\mathbb{P}(X\\le a) =  \\int_{-\\infty}^a f(x) dx\n",
    "$$\n",
    "\n",
    " which shows that the samples generated this way are $f$-distributed.\n",
    "Note more\n",
    "samples have to be generated from this probability mass function  the\n",
    "further\n",
    "away $g$ is from the desired function $f$. Further, because there is no\n",
    "rejection step, we no longer have the issue of efficiency.\n",
    "\n",
    "For example, let us\n",
    "choose a beta distribution for $g$, as in the following code,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "g = scipy.stats.beta(2,3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This distribution does not bear a strong resemblance to our desired\n",
    "$f$\n",
    "function from last section.  as shown in the\n",
    "[Figure](#fig:Sampling_Monte_Carlo_012) below.  Note that we scaled the domain\n",
    "of the\n",
    "beta distribution to get it close to the support of $f$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots(figsize=[10,5])\n",
    "g = scipy.stats.beta(2,3)\n",
    "_=ax.plot(x,fx,label='$f(x)$',color='k')\n",
    "_=ax.plot(np.linspace(0,1,100)*15,1/15*g.pdf(np.linspace(0,1,100)),label='$g(x)$',color='r')\n",
    "_=ax.legend(fontsize=16)\n",
    "_=ax.set_xlabel('$x$',fontsize=18)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_012.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_012.png, width=500\n",
    "frac=0.95]  Histogram of samples generated using SIR comparted to target\n",
    "probability density function. <div id=\"fig:Sampling_Monte_Carlo_012\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div id=\"fig:Sampling_Monte_Carlo_012\"></div>\n",
    "<p>Histogram of samples generated using SIR comparted to target probability\n",
    "density function.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_012.png\"\n",
    "width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    " In the next block, we sample from the $g$\n",
    "distribution and compute\n",
    "the weights as described above. The final step is to\n",
    "sample from this new\n",
    "probability mass function.  The resulting normalized\n",
    "histogram is shown\n",
    "compared to the target $f$ probability density function in\n",
    "[Figure](#fig:Sampling_Monte_Carlo_013)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "xi = g.rvs(500)\n",
    "w = np.array([f(i*15)/g.pdf(i) for i in xi])\n",
    "fsamples=np.random.choice(xi*15,5000,p = w/w.sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hw9m0aZPTkURERC6LSpaDtmzZQkZGBu3bt3c6ileoUaMGy5YtIyoqiri4OH744QenI4mIiFwylSwHzZw5Ez8/P6688kqno3iNmJgYVqxYgbWWIUOGsG/fPqcjiYiIXBKVLIcUFBQwa9YsWrRo4ZMnvF9IixYtWLJkCQcOHOCaa64hKyvL6UgiIiJlppLlkBUrVpCenq5DhefRpUsXPv74Y3bs2MGwYcPIyclxOpKIiEiZqGQ55J133qFGjRo0b97c6Shea9CgQbz33nusW7eOW265hYKCAqcjiYiIuE0lywGHDx/mo48+4uabbyYgQJPuX8ioUaN4+eWXWbhwIRMnTsRa63QkERERt6hkOWDevHkcP35ct5Fx08SJE3n88cf5z3/+w9SpU52OIyIi4haVLAfMnDmT5s2b0717d6ejVBpTp07l9ttvZ/Lkybz99ttOxxEREbkolawKlpKSwpdffskdd9yBMcbpOJWGMYY333yTq6++mrvvvptly5Y5HUlEROSCVLIq2HvvvQfA7bff7nCSyicwMJB58+bRtm1bRo4cqVnhRUTEq6lkVSBrLe+88w59+vShSZMmTseplCIiIli8eDE1a9Zk6NChpKSkOB1JRESkVLq0rQIlJSWRnJzMpEmTnI5SLuLj48vlc6ZMmVKm9evVq8fixYvp3bs3Q4cOZfXq1URGRpZLFhERkfKikawKtGLFCgCuvfZah5NUfldeeSXz589nx44djBw5kry8PKcjiYiInEElqwItX76cFi1a0KhRI6ejVAkDBw7kjTfe4PPPP+fuu+/WHFoiIuJVVLIqyIkTJ/jyyy8ZMmSI01GqlLFjxxIfH8/MmTPL7fCliIhIedA5WRVk7dq15OTkqGR5wFNPPcXu3buJj4+nSZMm3HnnnU5HEhERUcmqKMuXLycgIID+/fs7HaXKMcYwbdo00tLSuPvuu4mNjWXAgAFOxxIRER/n1uFCY0ycMWa7MWanMebxUt5vZYxZZ4w5YYx55Kz3fjLGfGeMSTTGbCyv4JXN8uXL6dWrF+Hh4U5HqZJcLhdz586lefPm3HTTTSQlJTkdSUREfNxFS5Yxxh/4F3At0Aa4xRjT5qzVDgIPAM+f52MGWGs7WGu7XE7YyiozM5NNmzbpUKGHRUZGsmjRIoKCghg6dCgZGRlORxIRER/mzkhWN2CntXaXtTYPmAMML7mCtTbDWpsA5HsgY6W3cuVKAAYPHuxwkqqvcePGfPLJJ+zfv58bbriB3NxcpyOJiIiPcqdkNQD2lHidVrjMXRZYboz5xhhzz/lWMsbcY4zZaIzZmJmZWYaP937Lly8nKiqKzp07Ox3FJ3Tt2pX33nuPDRs2cMcdd3Dq1CmnI4mIiA9yp2SVdhfjskxI1Nta24nThxvvM8b0LW0la+00a20Xa22X2rVrl+HjvZu1luXLl3P11Vfj7+/vdByfceONN/L8888zb948Hn/8nNMIRUREPM6dqwvTgIYlXscA+9z9BtbafYVfM4wxH3H68OOqsoSszJKSkti3b5/Ox3LA73//e3bu3Mnf/vY3mjdvzt133+10JBER8SHujGQlAM2NMU2MMYHAGGChOx9ujAkzxoQXPQeGAFsvNWxltHz5ckDnYznBGMPLL79MXFwcEyZMKL6tkYiISEW4aMmy1hYAE4FlQBLwgbX2e2PMvcaYewGMMXWNMWnAQ8BkY0yaMSYCiAZWG2O2ABuARdbapZ76YbzR8uXLadmypW6l45CAgADef/992rRpw6hRo9i61ac6voiIOMityUittYuBxWcte63E8/2cPox4tsNA+8sJWJkV3UrnrrvucjqKT4uIiGDRokV0796dYcOG8fXXXxMdHe10LBERqeJ070IPWrNmDbm5uTpU6AUaNmzIJ598QmZmJjfccAM5OTlORxIRkSpOJcuDdCsd79K5c2dmzZpFQkKCpnYQERGP070LPUi30vE+w4cPZ8iQIcyfP5++ffte9ijjlClTyimZiIhUNRrJ8pCMjAw2b96sqRu8UI8ePejatStr1qxh40afvZ2miIh4mEayPGTdunUAOlTohYwxxMXFkZWVxaJFi4iMjOSKK65wOpaIiFQxGsnykISEBPz9/enYsaPTUaQU/v7+jB49mjp16vDBBx+Qnp7udCQREaliVLI8ZOPGjVx55ZWEhoY6HUXOIygoiFtvvZWgoCBmzZrFkSNHnI4kIiJViEqWB1hrSUhIoGvXrk5HkYuoXr06t9xyCzk5OcyaNYu8vDynI4mISBWhkuUBu3fv5uDBgypZlUT9+vUZNWoU+/fvZ968eZraQUREyoVKlgckJCQAqGRVIi1btiQuLo7t27ezbNkyp+OIiEgVoKsLPSAhIYHAwEDatm3rdBQpg+7du5OVlcX69euJioqiR48eTkcSEZFKTCXLAzZu3EiHDh0IDAx0OoqU0ZAhQ8jOzmbp0qVERkbSqlUrpyOJiEglpcOF5ezkyZN88803OlRYSfn5+XHTTTdRv359PvzwQ/bu3et0JBERqaRUssrZ9u3bOXr0qEpWJRYYGMitt95KtWrVmDVrFllZWU5HEhGRSkglq5zppPeqoVq1atx2222cPHmS9957j9zcXKcjiYhIJaOSVc42btxIWFgYLVu2dDqKXKbatWszZswYsrKymDNnDgUFBU5HEhGRSkQlq5wlJCTQuXNn/P39nY4i5aBx48aMGDGClJQUPv74Y82hJSIiblPJKkd5eXkkJibqUGEV065dO66++mq2bt3KZ5995nQcERGpJDSFQznaunUrJ06cUMmqgnr37k12djZr1qwhMjJS/41FROSiVLLKkU56r7qMMVx77bUcPnyYxYsXEx4erjm0RETkgnS4sBxt3LiRGjVq0KRJE6ejiAf4+/szatQo6tWrx4cffsiePXucjiQiIl5MJascJSQk0KVLF4wxTkcRDymaQys8PJxZs2axY8cOpyOJiIiXUskqJzk5OWzdulWHCn1AtWrVuP322zHGEBcXx/79+52OJCIiXkglq5wkJiZy8uRJlSwfUbNmTW677TbS09MZOnQoR44ccTqSiIh4GZWscrJx40YAunTp4nASqSgNGjRg7ty5bNmyhVGjRpGfn+90JBER8SIqWeUkISGBevXq0aBBA6ejSAW67rrrmDZtGsuXL2fcuHGarFRERIppCodykpCQoEOFPmrcuHH8/PPPTJ48mejoaJ5//nmnI4mIiBdQySoHhw4dYvv27dx+++1ORxGH/N///R/79+/nhRdeoG7dujzyyCNORxIREYepZJWDTZs2AZqE1JcZY3jppZfIyMjgf//3f6lTpw5jx451OpaIiDhIJascbN26FYCrrrrK4STiJD8/P2bOnMkvv/zCuHHjqFmzJkOHDnU6loiIOEQnvpeD5ORkqlevTt26dZ2OIg4LCgrio48+on379owePZp169Y5HUlERByiklUOkpOTadWqlWZ6FwDCw8NZsmQJDRo04LrrruO7775zOpKIiDhAJascFJUskSJ16tRhxYoVhIaGMmTIEHbt2uV0JBERqWAqWZfp8OHD7Nu3TyVLztG4cWNWrFhBXl4egwcP5ueff3Y6koiIVCCVrMuUnJwMQOvWrR1OIt6oTZs2LFmyhPT0dIYMGcLBgwedjiQiIhVEJesyFZUsjWTJ+XTr1o0FCxawY8cOhg0bxrFjx5yOJCIiFUAl6zIlJycTEBBA06ZNnY4iXmzQoEHMnj2br7/+mhEjRnD8+HGnI4mIiIepZF2m5ORkrrjiClwul9NRxMvddNNNTJ8+nZUrV3LzzTfrhtIiIlWcStZl0pWFUhZ33nkn//znP1m4cCFjx47l5MmTTkcSEREP0YzvlyE/P58ffviB4cOHOx1FKpH77ruPY8eO8dhjjxEaGsrrr7+On5/+vSMiUtWoZF2GXbt2UVBQoCsLpcweffRRjh49yh//+EeqVavGiy++qMlsRUSqGJWsi4iPjz/ve0VXFn711Vfs3r37op81ZcqUcssllV98fDxHjx7lH//4B6GhoUydOlVFS0SkClHJugwHDhwAoFatWg4nkcrIGMMLL7xATk4Of/nLXwgKCuKZZ55xOpaIiJQTlazLcODAAapVq0ZwcLDTUaqcC40glpU3jyAaY3j11VfJy8sjPj4el8vFk08+6XQsEREpBypZlyEzM1OjWHLZ/Pz8eP3118nPz2fy5Mm4XC4effRRp2OJiMhlcuuSJmNMnDFmuzFmpzHm8VLeb2WMWWeMOWGMeaQs21ZW1loOHDhA7dq1nY4iVYC/vz9vvfUWY8aM4bHHHuMf//iH05FEROQyXXQkyxjjD/wLGAykAQnGmIXW2m0lVjsIPACMuIRtK6WjR49y4sQJjWRJuQkICGDmzJnk5+fz0EMP4XK5mDhxotOxRETkErkzktUN2Gmt3WWtzQPmAGdMDGWtzbDWJgBnT2F90W0rK530Lp7gcrmYNWsWw4cP5/777+eVV15xOpKIiFwid0pWA2BPiddphcvc4fa2xph7jDEbjTEbMzMz3fx456hkiacEBgbywQcfMGLECB544AFeeuklpyOJiMglcKdklTZxj3Xz893e1lo7zVrbxVrbpTKc53TgwAFcLhfh4eFOR5EqqKho3XTTTTz44IM6R0tEpBJyp2SlAQ1LvI4B9rn5+ZezrVc7cOAAtWrV0u1QxGNcLhdz5sxh5MiRPPTQQ7zwwgtORxIRkTJwpyEkAM2NMU2MMYHAGGChm59/Odt6taKSJeJJLpeL2bNnM3r0aB555BGee+45pyOJiIibLnp1obW2wBgzEVgG+APTrbXfG2PuLXz/NWNMXWAjEAGcMsY8CLSx1h4ubVtP/TAVJS8vj0OHDqlkSanKeyLVopPh/f39eeyxxzh+/DhPPfWUbsEjIuLl3JqM1Fq7GFh81rLXSjzfz+lDgW5tW9n98ssvgE56l4oTEBDAu+++S1BQEFOmTCEnJ4c///nPKloiIl5MM75fgqKrH1WypCL5+/vTqFEjunTpwl//+le++OIL4uLiLvm8QG++3ZCISFWgknUJDhw4gDGGmjVrOh1FfIyfnx9Dhw7F5XKxbt068vPzuf7663UBhoiIF1LJugQHDhwgKiqKgADtPql4xhiGDBmCy+Vi1apVFBQUMGLECPz9/Z2OJiIiJaglXAJdWShOM8YwcOBAXC4Xn332GSdOnGD06NG4XC6no4mISCEdYyijU6dO8csvv6hkiVfo06cPQ4cOZceOHbz77rscP37c6UgiIlJIJauMsrOzOXnypEqWeI2uXbsycuRI9uzZw9tvv83Ro0edjiQiIqhklZnuWSjeqF27dtxyyy0cOHCAt956i+zsbKcjiYj4PJWsMioqWbqyULxN8+bNGTt2LEePHmX69OlkZGQ4HUlExKepZJVRdnY2gYGBhIaGOh1F5ByxsbH85je/4dSpU0yfPp2UlBSnI4mI+CyVrDI6dOgQkZGRmmlbvFbdunUZP348YWFhzJw5k23btjkdSUTEJ6lklVF2djaRkZFOxxC5oKioKMaNG0e9evX44IMP2LBhg9ORRER8jkpWGalkSWURFhbG2LFjadGiBYsXL2blypVYa52OJSLiM1SyyiA3N5cTJ05QvXp1p6OIuCUwMJCbb76ZTp06sXr1aubPn09BQYHTsUREfIJmfC+DosviNZIllYm/vz/XX389kZGRfP755xw+fJibb77Z6VgiIlWeRrLK4NChQ4BKllQ+xhj69u3LyJEjSUtL48033+THH390OpaISJWmklUGGsmSyq5du3aMHTuWnJwcevTowdq1a52OJCJSZalklUF2djYul0tzZEml1qhRI+666y4iIyMZOHAgs2fPdjqSiEiVpJJVBtnZ2VSvXl1zZEmlV7NmTdatW0e3bt249dZbeeqppzh16pTTsUREqhSVrDLQ9A1SldSqVYuVK1cyfvx4nn32WUaPHs2xY8ecjiUiUmWoZJVB0WzvIlVFYGAgr7/+Oi+++CIff/wxvXv3JjU11elYIiJVgkqWm06cOEFubq5KllQ5xhgmTZrEokWL2L17N127dmXNmjVOxxIRqfRUstykKwulqouLi2P9+vVEREQwYMAAXnvtNc0QL/kkoLwAABkUSURBVCJyGVSy3FRUsjTbu1RlrVu3ZsOGDQwePJgJEyZw1113cfz4cadjiYhUSipZbtJEpOIroqKi+OSTT3jqqaeYPn06ffv2JS0tzelYIiKVjkqWm7Kzs/H39ycsLMzpKCIe5+fnxx/+8Ac++ugjkpOT6dy5M//973+djiUiUqmoZLmpaPoGPz/tMvEdI0aMYMOGDURFRTFo0CCee+45zaclIuImNQY3FU1EKuJrWrVqxYYNGxg5ciSPPfYYN954I1lZWU7HEhHxeipZbtJEpOLLIiIimDNnDi+//DJLliyhc+fOfPPNN07HEhHxaipZbsjLyyMnJ0clS3yaMYb777+fr776ioKCAnr16qVpHkRELkAlyw26slDkV927d2fz5s0MHDiQCRMmMHr0aB0+FBEphUqWGzQRqciZatasyaJFi/jb3/7GggUL6NChA2vXrnU6loiIV1HJcoMmIhU5l5+fH4888ghr1qwhICCAvn37MnXqVE6ePOl0NBERr6CS5YZDhw7h5+dHeHi401FEvE63bt3YtGkTo0aN4sknn2TIkCGavFREBJUstxRN36A5skRKV716dWbPns2bb77J119/Tbt27Xj//fedjiUi4ii1Bjdo+gaRizPGMG7cOBITE2nZsiVjxozhjjvuKL5wRETE16hkuUElS8R9V1xxBatXr+aZZ55h9uzZXHXVVbolj4j4JJWsi8jPz+fo0aM66V2kDAICApgyZQpr1qwhMDCQAQMG8Pvf/56cnByno4mIVBiVrIs4fPgwoOkbRC5F9+7dSUxM5L777uPFF1+kQ4cOrFmzxulYIiIVQiXrIjRHlsjlCQsL45VXXuHzzz8nPz+fPn368PDDD5Obm+t0NBERj1LJugiVLJHyMWDAAL799lvuvfde/v73v9OhQwe++uorp2OJiHiMStZFZGdnY4zRHFki5SA8PJxXX32VlStXkpeXR9++fZkwYYKuQBSRKkkl6yIOHTpEREQE/v7+TkcRqTIGDRrE1q1beeihh5g2bRpt2rRhwYIFTscSESlXKlkXoekbRDwjLCyMF154gfXr11OrVi1GjBjB6NGj2bdvn9PRRETKhUrWRahkiXhW165d2bhxI1OnTuWTTz6hVatWvPTSSxQUFDgdTUTksrhVsowxccaY7caYncaYx0t53xhjXi58/1tjTKcS7/1kjPnOGJNojNlYnuE9LS8vjyNHjqhkiXiYy+XiiSeeYOvWrfTq1YsHH3yQrl27sn79eqejiYhcsoCLrWCM8Qf+BQwG0oAEY8xCa+22EqtdCzQvfHQH/l34tcgAa+2BcktdQdLS0rDWqmSJVJArrriCJUuWMH/+fCZNmkTPnj25++67+fOf/0zNmjUvuG18fHy5ZJgyZUq5fI6IiDsjWd2AndbaXdbaPGAOMPysdYYDM+1p64FIY0y9cs5a4VJSUgA027tIBTLGMHLkSJKSknj44YeZPn06zZs355///KcOIYpIpXLRkSygAbCnxOs0zhylOt86DYCfAQssN8ZY4D/W2mmXHrdi/fTTT4DmyBIpD5cy0hQeHs4999zD0qVLuf/++/njH//Itddey9tvv13+AUVEypk7I1mmlGW2DOv0ttZ24vQhxfuMMX1L/SbG3GOM2WiM2ZiZmelGLM8rGsmKiIhwOImI74qOjmbs2LHcfPPN5OXlMWPGDEaNGsXu3budjiYickHulKw0oGGJ1zHA2ddYn3cda23R1wzgI04ffjyHtXaatbaLtbZL7dq13UvvYT/99BPh4eEEBLgz4CcinmKMoXXr1tx3330MGDCAJUuW0KpVKx599NHiuzKIiHgbd0pWAtDcGNPEGBMIjAEWnrXOQmBs4VWGPYBD1tqfjTFhxphwAGNMGDAE2FqO+T0qNTVVhwpFvIjL5aJfv37s2LGD2267jeeff55mzZrx8ssv63wtEfE6Fy1Z1toCYCKwDEgCPrDWfm+MudcYc2/haouBXcBO4HXgd4XLo4HVxpgtwAZgkbV2aTn/DB6TkpKik95FvFCDBg2YPn06mzZtomPHjkyaNIlXX32Vbdu2Ye3ZZzOIiDjDreNg1trFnC5SJZe9VuK5Be4rZbtdQPvLzOiIU6dOsWfPHrp1K/Xopoh4gQ4dOrBixQqWLl3KnXfeyQcffED9+vUZNGgQzZo1czqeiPg4zfh+Hvv37yc/P1+HC0W8nDGGa6+9lgkTJjBixAiOHTvGO++8w4wZM0hLS3M6noj4MJ3RfR6pqamA5sgSqSz8/Pzo0KEDbdu2ZePGjaxatYo33niDVq1a0b9/f+rWret0RBHxMSpZ56GJSEUqp4CAAHr06EHHjh1Zv349a9euJTk5mdatW9OvXz+VLRGpMCpZ56GRLJHKLSgoiH79+tGtWzfWr1/P+vXrSUpKUtkSkQqjknUeKSkpREZGEhwc7HQUEbkMISEhDBgwgB49erBu3bristWyZUv69OlDTEyM0xFFpIpSyTqP1NRUYmNjnY4hIuUkJCSEgQMH0qNHDzZs2MD69evZvn07TZo0oW/fvjRu3BhjSrt5hYjIpVHJOo+UlBQaNWrkdAwRKWehoaH079+fnj17snHjRtatW8eMGTOIiYmhd+/enDx5En9/f6djikgVoCkczkMlS6RqCwoKonfv3kyaNImhQ4dy7Ngx3n//fVq3bs1rr71Gbm6u0xFFpJJTySrFoUOHOHTokA4XivgAl8tF165duf/++xk9ejSRkZFMmDCB2NhYnnnmGdLT052OKCKVlEpWKYquLNRIlojv8PPz48orr+Trr7/mv//9Lz179iQ+Pp7Y2FjuvPNOvvnmG6cjikglo3OySlFUsmJjY0lKSnI4jYhUJGMMffv2pW/fvuzYsYNXXnmFadOmMXPmTBo2bEj37t1p3br1JZ+3NWXKlHJOLCLeSiWrFEUTkWokS8S3tWjRgldeeYVq1aqxefNmNmzYwIcffki1atXo1KkTnTt31lx6InJeKlmlSE1NJTAwkOjoaKejiIgXCA4OpmfPnnTv3p0ffvih+LY9X331FS1atKBr1640bdoUPz+dgSEiv1LJKkVKSgoNGzbUL0wROYOfnx8tW7akZcuWZGVl8c0337Bp0ya2b99OZGQkHTt2pEOHDhrdEhFAJatUmohUfFV8fHy5fVZVP/coKiqKq6++mv79+5OcnMymTZv44osv+PLLL2nWrBmdOnWiRYsWBATo16yIr9Lf/lKkpKQwePBgp2OISCUQEBBA27Ztadu2LVlZWWzevJnNmzfzwQcfEBISQrt27Wjfvj3169fXjPIiPkYl6yx5eXns27dPI1kiUmZRUVEMHDiQ/v378+OPP5KYmMg333zDhg0bqFWrFu3bt2fPnj00bNjQ6agiUgFUss6yd+9erLW6slBELpmfnx/NmzenefPm5Obmsm3bNrZs2cJnn31GbGwsffr04ZZbbmH06NHUqlXL6bgi4iEqWWfR9A0iUp5CQkLo3LkznTt35uDBg9SuXZtZs2bxu9/9jgceeIDBgwczZswYbrjhBiIjI52OKyLlSJfPnaXkRKQiIuWpRo0aTJ48me+//57ExEQefvhhvv/+e+68807q1KnDsGHDmDFjBtnZ2U5HFZFyoJGssxSNZOmcCRHxFGMM7du3p3379kydOpV77rmHbdu2sXr1ahYtWoSfnx9NmzalVatWtGzZkvDwcLc+t6pf0SlS2ahknSU1NZXo6GiCg4OdjiIiPsDPz4+GDRvSsGFDhgwZwt69e9m2bRvbtm3j008/5dNPPyUmJoZWrVrRqlUrncMlUomoZJ0lJSVF52OJiCOMMcTExBATE8PgwYPJyMggOTmZ5ORkVq5cycqVK6lZsyYtWrSgRYsWxMbGXvI9FEXE81SyzpKamkq7du2cjiEiPs4YQ3R0NNHR0fTr14/s7Gy2b9/Ojh072LBhA+vWrSMoKIhmzZrRvHlzmjVr5nRkETmLSlYJ1lpSU1MZNmyY01FERM4QGRlJ9+7d6d69OydOnGDXrl3s2LGDH374gW3btgGwcuVKrrnmGuLi4ujduzdBQUEOpxbxbSpZJWRmZpKbm6srC0XEqwUFBdG6dWtat26NtZb09HR27tzJyZMnefHFF/nb3/5GSEgIffr04eqrr2bQoEF06NDBI/djLa9bMemkfamKVLJKKJq+QedkiUhlYYyhbt261K1blylTpnDkyBG+/PLL4nO4Hn30UQBq1qxJ//79ix9XXnmlbvMj4mEqWSVoIlIRqezCw8O5/vrruf766wF4+OGH2b17N7t27WLlypXMmzcPgNDQUBo3bkyjRo2IjY0lOjr6oiNdGm0SKRuVrBI0EamIVDURERHFc3IBZGVl8dNPP/HTTz+xe/fu4vO5goKCaNiwIbGxscTGxlK/fn0CAwOdjC5S6alklZCSkkK1atWIiopyOoqIiEdERUURFRVFx44dAcjOziY1NZXU1FRSUlL4/PPPgV8PQ8bExNCwYUNiYmKw1uoQo0gZqGSVkJqaSmxsrH6JiIjPiIyMJDIykquuugqAnJwc0tLS2LNnD3v27CExMZGEhAQAZs2aRbdu3YofXbt2dTK6iNdTySpBE5GKiK8LDQ0tnuwU4OTJk2RkZLB3717q1KnDhg0bWLJkCdZaAKpXr069evWoX79+8dewsDAnfwQRr6GSVUJqaqr+ZSYiUoK/vz/16tWjXr16xSe+HzlyhG+++YaNGzcyY8YM9u3bR3JycvE24eHhxVc8Fj2ioqI8MoWEiDdTySp07NgxDhw4oJEsEZGLCA8PL54K4tixYwAcP36cn3/+mZ9//pn9+/ezf/9+du7cWTzi5XK5qFOnDtHR0Wd81aiXVGUqWYX27NkD6MpCEZFLERwcTJMmTWjSpEnxsvz8fDIzM9m/fz/p6emkp6eTlJTEpk2bitcJDQ2ldu3aZGRkcOWVVxZPshodHa3zY6XSU8kqpDmyRETKl8vlon79+tSvX794mbWWo0ePkp6eTmZmJhkZGWRmZvLuu+9y+PDh4vWqV69Oq1ataN26NS1btiw+T+yKK64gODjYiR9HpMxUsgoVlSyNZImIeI4xhvDwcMLDw7niiiuKlz/99NPs3buX5ORkkpKSSE5OJjk5mWXLlvH222+fsX1sbCzNmzfniiuuKH40a9aMpk2bEhoa6sBPJVI6laxCqamp+Pv7n/EvLhERqRjGGGJiYoiJieHqq68+470jR47www8/sGPHDrZv386OHTvYuXMnH3zwAQcPHjxj3bp169K0adPiR5MmTWjcuDGNGzcmJiaGgAD9b08qjv60Fdq9e7f+AoqIeKHw8HA6depEp06dznnv4MGD/Pjjj+zcuZNdu3YVP1atWsWsWbM4depU8bp+fn7ExMTQqFGj4tsJlXzExMQQERGhc8Gk3KhRAPv37+ejjz5i9OjRTkcREZEyqFGjBjVq1Ch1+p28vLzimeyLbiVU9Pjqq69IS0vj5MmTZ2xTrVq14lnuGzRoUPyoX79+8dc6deroH+TiFv0pAf70pz+Rn5/PU0895XQUEREpFB8fX26fdfbNrePj4zl16hRHjhzh8OHDHDp0iMOHDxc/37ZtG+vXr+fo0aPF01AUMcYQGhpKeHg41apVo2/fvtSrV4/o6Giio6OpW7cuc+fOJSwsjODg4MseGdONuSsvny9ZKSkp/Oc//2H8+PFnnIQpIiJVm5+fH9WrV6d69eo0bNiw1HVOnTrFsWPHOHz4MEeOHCl+HD16tPjrkiVLyMjIOGdUDE5P5hoWFnbGIzQ0lNDQ0DOeFz2Cg4M1aWsV4vMlKz4+Hj8/PyZPnux0FBER8TJ+fn7FV0Oez5QpUzh16hS//PJL8Zxgr776KseOHTvnkZmZSU5ODvn5+ef9vJCQEEJDQwkJCSEkJIQff/yRmjVrUqNGjeIbfEdFRRW/Lrr/ZFBQkCd2gVwGny5ZycnJzJgxgwcffJCYmBin44iISCXl5+dH7dq1qV27Nu3atWPNmjUXXD8vL4+cnByOHTtGTk4Oubm55OTkFD9yc3PJzc3l6NGjrFq1ioMHD3LkyJELfmZAQADBwcHFj6CgoHOeBwUFFT+Cg4OZOHEiERERxUUyLCxMJ/6XI58uWU8//TShoaE8/vjjTkcREREfEhgYSGBgIJGRkRddt+icrPz8fLKysvjjH/9YXMKOHz9+xqNo2YkTJ8jNzSUrK4sTJ05w/PjxUg9nzpgx44zXxhiqVatWXLrOfl70CAsLK/5a8jBoaa+LRuX8/f3LZ+dVIm6VLGNMHPAS4A+8Ya39y1nvm8L3rwNygP9nrd3kzrZO2bx5M3PnzuWpp56idu3aTscRERG5oKL7P9aqVeuSti8oKODEiRPFj+PHjzNy5Mgzzjcr+bzovLMjR46QmppafMjz6NGjpV4QcDFBQUHFhavk4dCSz0NCQggODj7ja9Hzsx8lR+fOHqUrOVrn5B0CLlqyjDH+wL+AwUAakGCMWWit3VZitWuB5oWP7sC/ge5ubuuIyZMnExUVxcMPP+x0FBEREY8LCAggICDgjJtyX3/99eesFx8fT1RU1AU/y1pLfn4++fn55OXlnfG15PPBgwdz7NixMw6H5ubmFi8remRmZp4xOlfy+eUIDg4mNzf3sj7jcrgzktUN2Gmt3QVgjJkDDAdKFqXhwEx7utauN8ZEGmPqAY3d2LbCrV69msWLF/PXv/6V6tWrOxlFRESk0jHGFB/yLFnaznbfffdd1vex1pKXl3fOIdGikbjSvpYcqSvraFt5c6dkNQD2lHidxunRqout08DNbSuUtZYnn3ySunXrMnHiRCejiIiIyAUYY4oP/VXGQRFzsZZnjBkNXGOtvavw9R1AN2vt/SXWWQT82Vq7uvD1Z8CjQNOLbVviM+4B7il82RLYfpk/28XUAg54+HtUJtofv9K+OJP2x6+0L86k/XEm7Y9f+dq+OGCtjTt7oTsjWWlAyVnaYoB9bq4T6Ma2AFhrpwHT3MhTLowxG621XSrq+3k77Y9faV+cSfvjV9oXZ9L+OJP2x6+0L05zZ1rZBKC5MaaJMSYQGAMsPGudhcBYc1oP4JC19mc3txURERGpci46kmWtLTDGTASWcXoahunW2u+NMfcWvv8asJjT0zfs5PQUDr+50LYe+UlEREREvIhb82RZaxdzukiVXPZaiecWKPUSgtK29RIVdmiyktD++JX2xZm0P36lfXEm7Y8zaX/8SvsCN058FxEREZGy062+RURERDzA50qWMSbOGLPdGLPTGOPTNy00xjQ0xnxhjEkyxnxvjJnkdCanGWP8jTGbjTGfOp3FaYWTCn9ojEku/DPS0+lMTjLG/L7w78lWY8xsY4xz9+pwgDFmujEmwxiztcSyGsaYFcaYHwq/Xnia8CrkPPvjb4V/X741xnxkjLn4jQmrgNL2RYn3HjHGWGPMpd0LqJLzqZJV4jY/1wJtgFuMMW2cTeWoAuBha21roAdwn4/vD4BJQJLTIbzES8BSa20roD0+vF+MMQ2AB4Au1tq2nL6QZ4yzqSrc28DZ8wA9DnxmrW0OfFb42le8zbn7YwXQ1lp7FbADeKKiQznkbc7dFxhjGnL6tnqpFR3IW/hUyaLELYKstXlA0W1+fJK19ueiG3lba49w+n+iDZxN5RxjTAwwFHjD6SxOM8ZEAH2BNwGstXnW2mxnUzkuAAgxxgQAoZxnzr+qylq7Cjh41uLhwIzC5zOAERUaykGl7Q9r7XJrbUHhy/WcnhuyyjvPnw2Af3B6YnKfPfnb10rW+W7/4/OMMY2BjsDXziZx1Iuc/oVwyukgXqApkAm8VXj49A1jzPlvUFbFWWv3As9z+l/kP3N6LsDlzqbyCtGFcyJS+LWOw3m8yThgidMhnGKMuQHYa63d4nQWJ/layTKlLPPZhl3EGFMNmAc8aK097HQeJxhjhgEZ1tpvnM7iJQKATsC/rbUdgWP41qGgMxSeazQcaALUB8KMMbc7m0q8lTHmSU6fjvGe01mcYIwJBZ4EnnY6i9N8rWS5c4sgn2KMcXG6YL1nrZ3vdB4H9QZuMMb8xOnDyAONMe86G8lRaUCatbZoZPNDTpcuX3U1sNtam2mtzQfmA70czuQN0o0x9QAKv2Y4nMdxxpg7gWHAbdZ350hqxul/kGwp/J0aA2wyxtR1NJUDfK1k6TY/JRhjDKfPuUmy1v7d6TxOstY+Ya2NsdY25vSfi8+ttT47UmGt3Q/sMca0LFw0CNjmYCSnpQI9jDGhhX9vBuHDFwKUsBC4s/D5ncACB7M4zhgTBzwG3GCtzXE6j1Ostd9Za+tYaxsX/k5NAzoV/l7xKT5VsgpPSCy6zU8S8IGP3+anN3AHp0dtEgsf1zkdSrzG/cB7xphvgQ7AVIfzOKZwRO9DYBPwHad/d/rUjNbGmNnAOqClMSbNGDMe+Asw2BjzA6evIvuLkxkr0nn2xz+BcGBF4e/T1y74IVXEefaFoBnfRURERDzCp0ayRERERCqKSpaIiIiIB6hkiYiIiHiASpaIiIiIB6hkiYiIiHiASpaIiIiIB6hkiYiIiHiASpaIiIiIB/x/7t2S2AB4a9IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax=subplots(figsize=[10,5])\n",
    "_=ax.hist(fsamples,rwidth=.8,density=True,bins=20,color='gray')\n",
    "_=ax.plot(x,fx,label='$f(x)$',color='k')\n",
    "_=ax.legend(fontsize=14)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)\n",
    "fig.savefig('fig-probability/Sampling_Monte_Carlo_013.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- dom:FIGURE: [fig-probability/Sampling_Monte_Carlo_013.png, width=500\n",
    "frac=0.95]  Histogram and probability density function using SIR. <div\n",
    "id=\"fig:Sampling_Monte_Carlo_013\"></div> -->\n",
    "<!-- begin figure -->\n",
    "<div\n",
    "id=\"fig:Sampling_Monte_Carlo_013\"></div>\n",
    "\n",
    "<p>Histogram and probability density\n",
    "function using SIR.</p>\n",
    "<img src=\"fig-probability/Sampling_Monte_Carlo_013.png\"\n",
    "width=500>\n",
    "\n",
    "<!-- end figure -->\n",
    "\n",
    "\n",
    "\n",
    "In this section, we investigated how to\n",
    "generate random samples from a given\n",
    "distribution, beit discrete or continuous.\n",
    "For the continuous case, the key\n",
    "issue was whether or not the cumulative density\n",
    "function had a continuous\n",
    "inverse. If not, we had to turn to the rejection\n",
    "method, and find an\n",
    "appropriate related density that we could easily sample from\n",
    "to use as part of\n",
    "a rejection threshold. Finding such a function is an art, but\n",
    "many families of\n",
    "probability densities have been studied over the years that\n",
    "already have fast\n",
    "random number generators.\n",
    "\n",
    "The rejection method has many\n",
    "complicated extensions that involve careful\n",
    "partitioning of the domains and lots\n",
    "of special methods for corner cases.\n",
    "Nonetheless, all of these advanced\n",
    "techniques are still variations on the same\n",
    "fundamental theme we illustrated\n",
    "here [[dunn2011exploring]](#dunn2011exploring),\n",
    "[[johnson1995continuous]](#johnson1995continuous)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
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}
